OK. But you asked for it.
The focal length of a lens is the distance between the central focal point on the medium that you are recording on (film, sensor), from the optical center of a lens, when that lens is focused to infinity.
Naturally, different media give you different focal lengths for a specific representation of an image (medium film is different from APS is different from 35mm), but mainly due to the popularity of 35mm film, most manifacturers have adopted the notion of representing the focal length as a 35mm-equivalent. So next time you go to Circuit City, pick up an ultra compact and look at the specs on it. Then look at the lens. It will say something like 4.5-5.6/ 6.33-19.6. This is a 3X optical zoom camera, which has a lens with focal length of 6.33mm to 19.6mm. Because the camera uses such a small sensor size, this ultra wide lens is equivalent to about 35mm to about 110mm or so in 35mm-equivalent.
Is that clear as mud?