Well, the point here is distances.
The simplest (and more stable) example is when two subordinate components revolve around the main component of tertiary system. As I said above, in order to fix it in your imagination just substitute two giant-planets with two more suns, then just arithmetically expand the distances between them, and you will get more or less stable tertiary solar system. Jupiter and Saturn, and Uran etc. have their sattelites. All right, Jupiter transforms into sun ten times as bigger, move his orbit 50 astronomic units farther, enlarge his sattelites and expand their orbits in the same way, and you'll get a star-component with the planetary sistem of its own, and the main component ill also have its rock planets along with the sun orbiting in the same ecliptic, the add the third component in the same way. Rough example but it should work. Sirius is the example of such a triple system. Got it?
Less stable tertiary system is when the third component orbits around the second component that, in its turn, orbits the main component...