"Take This Heart" is a song by American singer Richard Marx, released as the third single from his third studio album, Rush Street (1991).
The baseball scenes, with commentary by announcer Bob Uecker, are intercut with footage of Marx and his band playing the song on the field of the A's ballpark, the Oakland Coliseum.
With two strikes against him, Marx hits a home run to win the game for Chicago, to the dismay of Oakland players Rickey Henderson and Jose Canseco.
The scene then cuts to a dozing Marx being shaken awake backstage just before a concert, having dreamed the championship game.
Since the game was played in Oakland, the A's (as the home team) would still bat in the bottom of the ninth, so Marx' homer could not have guaranteed a win for the Cubs.