Great Britain and Belgium will meet in the Davis Cup final after respective 3-2 wins over Australia and Argentina.
Andy Murray, Britain's hero of the occasion, recovered from his exertions alongside brother Jamie in Saturday's marathon doubles clash to beat Bernard Tomic 7-5 6-3 6-2 for his third win of the tie.
Murray's only wobble came when he was broken as he served for the first set - but he responded to immediately claim his second break of the match and take the set.
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Murray sends Glasgow into raptures
The Scot, broke in the fourth game of the second set before serving out the set to love, and powered through the third in imperious fashion.
That gave the home team an unassailable 3-1 lead in Glasgow and though Thanasi Kokkinakis narrowed the final margin by beating Dan Evans 7-5 6-4 in a dead rubber Leon Smith's men were into November's final.
It will be Britain's first final in 37 years and they have not won the competition since 1936.
But Murray said: "I wasn't really thinking about history or anything like that, I was just concentrating on the points.
"I'm obviously delighted to get through. We knew it would be an incredibly difficult match to win, Australia have great depth and experience."
The Eurostar to Brussels awaits
A final away in Belgium beckons after Steve Darcis' decisive win over Federico Delbonis in Brussels.
Argentina led 2-1 going into Sunday's play, following Carlos Berlocq and Leonardo Mayer's doubles win over Darcis and Ruben Bemelmans.
But David Goffin brushed aside Diego Schwartzman for the loss of just six games, 6-3 6-2 6-1, to ensure the match came down to the final rubber.
The first two sets were shared but Darcis broke late in the third and took the fourth on a tie-break to complete a 6-4 2-6 7-5 7-6 (7/3) win.
Will Andy Murray write more history?
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