Skepticism is a way to solve problems

Given the modern usage of “skeptic” this doesn’t make a lot of sense.  When we say “I’m skeptical” it seems to me what we’re articulating now is that we’re wary of belief or that we’re hesitant to even fully consider some opinion or another (likely because of our prior beliefs).

  

Ancient Skepticism asks us to deeply consider the belief and also deeply consider a contrary belief.  If we’re incapable of coming up with a competing theory that’s compelling, the Skeptics would say we need to work on that capacity so we are able to suspend judgement and thereby attain tranquility. 

When problem solving, it’s valuable to create both a plan of action and a competing plan of action. If we don’t have much attachment to one particular plan, we can create two divergent plans that both accomplish the same goal.  If one of the plans just doesn’t look good enough, we’re not working hard enough on exploring/choosing alternatives.  The tension between the two gives each plan more strength. Since the goal is the same, it may not matter a whole lot which plan you end up choosing. Even if you have to choose before fully developing a secondary plan, this way of thinking can enrich the plan.

Regarding tranquility, YMMV.