What does eureka mean?

You are correct!

From our dictionary:

eu•re•ka

Pronunciation: (yoo-rE'ku, yu-), [key]
interj.
1. (cap.) I have found (it): the reputed exclamation of Archimedes when, after long study, he discovered a method of detecting the amount of alloy mixed with the gold in the crown of the king of Syracuse.
2. (used as an exclamation of triumph at a discovery.)

Eu•re•ka

Pronunciation: (yoo-rE'ku, yu-), [key]
n.
a city in NW California. 24,153.