Australia chase down 177 with one over to spare and will now face New Zealand in Sunday in Dubai.
Skipper Finch hailed the innings by Wade, calling it “outstanding”.
“It was a great game of cricket. The way Matthew Wade held his nerve was outstanding, that partnership with Marcus Stoinis was crucial,” he said.
Losing Pakistan captain Azam said the dropped catch of Wade in the 19th over was the turning point of the match.
Wade declared man of the match
Matthew Wade’s flurry of boundaries and sixes towards the end have earned him the man of the match award.
“I’m just happy to contribute. I was out of the team for a while, just happy I got an opportunity again,” he said in his post-match comments.