What is the most logical next event?

How to polish concrete
Evaluate the concrete.
Use a mohs hardness pick to determine the degree of mineral hardness. Determining whether the concrete is soft, medium, or hard will allow you to fine-tune the polishing process.
Use the tools supplied in the kit to test the hardness of the concrete against the hardness of other minerals. The softest mineral that is capable of scraping the concrete is harder than the concrete, placing the concrete's level of hardness directly below that mineral.