Here's the checklist I wrote last time someone asked what to do next.
First thoughts:
a) Consider building your first commercial shipyard at 100%, and then switching to a mine/factory/other plan after that is finished. Also, 45/45 mine/factory is excessive. For example, 40/40 will let you build mass drivers/tracking stations/labs/etc +100% faster for a 12% slower industrial growth. I don't think I've ever played a game with more than 60% of my industry going to mines/factories.
b) While commercial yards can't build military ships, military shipyards will happily build commercial ships. I've built small commercial geosurvey ships in military yards before.
What happens next?
That depends on play style. Some people here turtle in their home system teching up until mineral shortages force them outward. Me, I'm usually impatient enough to start exploring shortly after my first in-system colony is established. For that I need planetary missile bases, anti-missile bases/orbitals and jump point pickets just-in-case, plus jump scouts. If I'm looking for trouble I'll make whatever military force I can with the starting tech.
From that point I exploring outward 3-4 jumps unless I find an enemy worth fighting. If I don't find any enemies worth fighting I colonize the best system found, and build a new generation of faster longer ranged jump scouts for the next wave of exploration.
However, what you really need is a personal objective. Are you trying to explore the entire star cluster? Is the conquest of your closest neighbor your primary objective? Exterminate any monster races? Are you trying to find/terriform an off-system cost-0 world? The best games are either driven by an outward goal or an internal story. The story and goal of your game will do more to set exploration priorities and methods than any forum advice we can offer.