By Caroline Cheese
BBC Sport at Wimbledon
Reigning champion Roger Federer took 31 minutes on Saturday to reach his second final, completing a 6-2 6-3 7-6 (8-6) win over Sebastien Grosjean.
The top seed was leading 6-2 6-3 4-3 when play was abandoned on Friday.
The players returned to a sunny Centre Court at 1200 BST, and after saving two match points Grosjean went on to serve for the set as Federer lost focus.
But the Frenchman could not complete an unlikely comeback, and Federer came through an edgy tie-break to advance.
"I'm very relieved," Federer told BBC1.
"It was difficult to stop with the match at such a point.
"Things were looking good but you never know what can happen. On a new day, he might have turned it around."
Federer equalled Pete Sampras' record of 23 straight wins on grass with victory over Grosjean, but he insisted he did not feel invincible on the surface.
"I always feel like my opponent has a chance," said Federer, who can surpass Sampras' record in Sunday's final.
"This year has been fantastic and it's difficult to understand why I'm so dominant this year.
"But I always have the same attitude - if I don't play well I could lose," added the world number one.
The semi-final began at 1300 BST on Friday, and Federer took advantage of a shaky start from Grosjean to break serve immediately before the rain came after only 23 minutes.
It was almost five hours until play resumed, when Federer once again clicked into gear straight away, wrapping up the first set only eight minutes after the restart.
Grosjean attempted to mix up his tactics by approaching the net, but he was passed time and again and serving to stay in the second set, he netted a volley.
It took until 2-2 in the third set for Grosjean to earn his first break point of the match, but the 10th seed wasted it by netting a routine forehand.
Play was abandoned with Federer leading 4-3, and the overnight break appeared to upset the world number one's focus.
Grosjean produced two winning serves to stave off two match points at 4-5, and went on to serve for the set.
But Federer found his form when it mattered, breaking back with a majestic forehand pass before coming from 4-0 down in the tie-break to hand Grosjean a fourth Grand Slam semi-final defeat.