They’re not dead yet.

The Yankees won for the third straight day with a 5-3 victory over the White Sox on Saturday in The Bronx, and though the win hardly reminded anyone of the vintage Yankees from the 1990s and 2000s — for which former manager Joe Torre was honored before the game — it was the kind of outcome needed to make a run in September.

The Yankees capitalized on some sloppy fielding by Chicago, which helped them score more than four runs for the first time since Aug. 8, and they got another decisive hit from Martin Prado.

Manager Joe Girardi said he is optimistic this was a good sign from an offense that has gone through more than its fair share of down periods.

“I hope so,” the manager said. “I’ve said all along, this offense has the ability to score more runs. They work really hard at it. We had some good at-bats and walks and took advantage of miscues on their part.”

The fourth-inning rally that gave the Yankees the lead started when Brian McCann lofted a routine fly ball to left, but Alejandro De Aza lost the ball in the sun and it dropped for a double.

It was hardly the first time McCann has been the beneficiary of that kind of play, but he wasn’t apologizing for it, having lost plenty of hits because of the shift.

Mark Teixeira followed with a walk before Carlos Beltran singled to right. McCann was held at third, but with Teixeira looking over his shoulder to right field didn’t notice and the Yankees wound up with both runners on the base, as Beltran moved to second.

Prado salvaged the inning by ripping a double to left that scored McCann and Beltran.

They added two more runs in the sixth, sparked by Beltran’s 15th homer of the season and a Prado double.