Clean your table surface by pouring a small amount of mineral spirits, also known as paint thinner, onto a soft cleaning cloth and wiping it in long strokes back and forth. The cloth will pick up surface dirt and remove wax buildup. Let the tabletop dry completely.
Dip a folded cleaning cloth into a tin of furniture paste wax and put a small amount on the cloth. Apply it in the same fashion you did the mineral spirits, with a long, back-and-forth motion.
Let the wax application dry for several minutes.
Buff the tabletop by passing a clean cloth over the waxed surface, moving in circles this time. Keep at it until the table shines uniformly.