Requiring 20 off the last 10 balls, Matthew Wade was dropped by Hassan Ali prior to hitting the following three conveyances for six to finish a staggering quest for 177 in Dubai.
Australia had been battling at 96-5, notwithstanding a pugnacious 49 from David Warner, before Wade and Marcus Stoinis’ show off finish.
Swim crushed an unbeaten 41 off just 17 balls, while Stoinis completed 40 not out off 31, their wonderful remain of 81 in 6.4 overs conveying Australia home with an over to save and hushing a generally Pakistan-supporting group.
It was a second exciting finale in 24 hours after New Zealand’s emotional triumph over England in Wednesday’s semi-last.
Australia and New Zealand, neither of whom have won the T20 World Cup, will meet in the last in Dubai on Sunday at 14:00 GMT.
Swim hit Hassan for six to give them reestablished trust, prior to taking Pakistan’s chief speed bowler Shaheen Afridi separated in an over that will live long in the memory of Australia fans, but after Hassan put down an intense possibility progressing at profound mid-wicket with Wade on 21.
The way that Matthew Wade held his nerve toward the end was incredible. The association with Marcus Stoinis was urgent. It was an incredible round of cricket.
Few would have anticipated Australia, who came into this competition having lost their beyond five T20 series and were bowled out for 62 by Bangladesh in August, to arrive at the last.
They lost Finch for a duck in the first finished, saw Mitchell Marsh and Steve Smith tumble to Shadab Khan, and karma appeared to be against them when Warner was given out got behind notwithstanding replays proposing he didn’t edge the ball.
Stoinis defeated his battles against twist to see off leg-spinner Shadab, who got done with 4-26, and he and Wade were content to take speedy singles until liberating their arms late on.
They were helped by a worse than average Pakistan. Hassan persevered through an unpleasant day with the ball – he wrapped up with 0-44 from four overs – yet it was his drop to respite Wade whereupon the game swung.
It was a dazzling triumph for an Australia side that, as Finch said, were discounted before the competition.
Rizwan delivered an eminent innings, made even more noteworthy given he went through two evenings in concentrated consideration with a “serious” chest disease.