I'm engaged! Kim Kardashian's delight as Kanye West proposes on her birthday with a huge $1.6m ring... after renting out ENTIRE baseball park to pop the question

Rapper proposed with 50 piece orchestra and fireworks at San Francisco's AT&T baseball park
'PLEEEASE MARRY MEEEE!!!' flashed on the field's scoreboard screen
Kim tweeted a picture of her ring on Tuesday with the caption: 'Yes!!!'
Orchestra played Lana Del Rey's Young and Beautiful and then his own hit, Knock Me Down
Presented fianceé with 15 carat diamond ring by Lorraine Schwartz, estimated to be worth more than $1.6m
Fireworks exploded after Kim said yes and family poured out of dugouts
It will be THIRD marriage for the 33-year old reality star and first for Kanye

PUBLISHED: 04:52, 22 October 2013 | UPDATED: 19:04, 22 October 2013

Kanye West has proposed to girlfriend of 18 months Kim Kardashian days after telling the audience at his concert in Seattle on Saturday that he planned to marry her 'one day.'

The 36-year-old rapper popped the question to the reality star on her 33rd birthday on Monday with a 15 carat diamond ring at the AT&T Park baseball park in San Francisco, and later surprised her with family and friends pouring out of the dugouts, reports E!.

West had arranged for the words 'PLEEESE MARRY MEEE!!!' to flash up on the giant scoreboard.

In a snap posted on Instagram, Kim can be seen holding her ring finger towards the camera as she flashes her gigantic dazzling engagement band while smiling broadly alongside her man.

On Tuesday morning, the delighted new mother posted a black and white picture of her new bling in front of the romantic scoreboard message, with the simple caption: 'Yes!!!'

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What a sparkler! Kanye West proposed to girlfriend of 18 months Kim Kardashian, dressed in Valentino, on Monday night in San Francisco

'YES!!!': Kim tweeted this picture on Tuesday morning after her exciting evening

Lavish proposal: Kanye presented his fianceé with a 15 carat diamond ring by Lorraine Schwartz as 'PLEEEASE MARRY MEEEE!!!' flashed on the field's scoreboard screen

Kanye West proposes to Kim Kardashian with an orchestra

Kanye was in Los Angeles earlier in the day at the Hollywood Film Awards, and it was therefore unclear whether he planned to spend Kim's birthday with her.

The rapper flew in from San Francisco on Monday to present director Steve McQueen with a special honor award at the ceremony, and it appears he flew straight back to the Bay Area city straight afterwards to see the mother of his child.

Kim is said to have boarded a private jet that afternoon with her family in Los Angeles.

The happy couple: Kim and Kanye pose with a fellow guest as they celebrated with family and friends after the rapper popped the question

Getting in on the act: Kim's half sister Kylie Jenner's boyfriend Jaden Smith is seen here, right, in another snap posted on Instagram and was among the family who came to the stadium

Joyous news: Kim's sister Kourtney posted her own photograph from the stadium, with the accompanying caption: 'She said YES!'

Kanye's future mother-in-law: Kris Jenner tweeted a selfie and thanked Larry Baer, the chief executive officer of the San Francisco Giants, for his help in arranging the proposal

Romantic setting: The AT&T baseball park in San Francisco was Kanye's venue of choice for his proposal to Kim Kardashian, it overlooks the San Francisco Bay which must have been drenched in moonlight at night

Kris Jenner described the couple as: 'A match made in heaven!', adding: 'I am so happy for both of my kids, Kim and Kanye.'

Kanye, who is in the midst of a world tour, popped the question to the mother of his child after serenading her with a 50 piece orchestra.

Expanding already: Reports emerged Monday that Kim and Kanye are reportedly planning to have another baby, pictured earlier this month in LA

Wedding bells! Kanye West and Kim Kardashian are engaged after the rapper proposed to the reality star on her birthday Monday in San Francisco, pictured earlier this month in LA

Making memories: Kourtney and Kylie were seen by the Kardashian private jet this afternoon as the family headed up to San Francisco

Making memories: Kourtney and Kylie were seen by the Kardashian private jet on Monday afternoon as the family headed up to San Francisco

Reality TV royalty: The families arrived at Van Nuys air strip in a fleet of Cadillac Escalades, which Kim has been seen riding around in since giving birth to Nori

The family flew in style as Kris, Kylie, Kendall, Kourtney and Kim were all said to have boarded a private flight from Van Nuys

Travelling in style: Kris, Kylie, Kendall, Kourtney and Kim were all said to have boarded a private flight from Van Nuys

The band struck up the romantic ballad Young And Beautiful from film The Great Gatsby by songstress Lana Del Rey, followed by his own hit with Keri Hilson and Ne-Yo, Knock You Down.

After Kim said yes, Kanye slipped a 15 carat diamond ring onto her finger and fireworks exploded in the sky as the rest of her family ran out of the dugouts.

He'd asked permission from the family matriarch for her daughter's hand in marriage earlier in the day.

Tobias Kormind, co-founder of specialist diamond jeweller 77 Diamonds, estimates Kim's dazzling ring is a cushion cut diamond, worth 'well over £1 million [$1.6m]'.

He told MailOnline: 'Kim's ring from Kanye looks like a 15 carat diamond Cushion cut. As its name suggests, the Cushion cut is a rectangular or square shape, with rounded corners that resemble a pillow.

Friends first: Kim and Kanye have been close for years, his ex Amber Rose - who shares Kim's birthday - bitterly mentioned there was always an attraction