It's been a while since I read his explanation, but an economist -- I believe it was Tim Harford in _The Undercover Economist_, but it may have been Tyler Cowan -- has already solved this, and with a very different answer.
Several factors are operating. First, due to a higher death rate among males, the number of women begins to exceed the number of men (of a given age) starting at age 23. Next, there are about 10 times as many men in prison as women. Also, there seem to be rather more gay men than lesbian women. There are far more women in large US cities, where articles like this are written, than men (who are disproportionately rural). then, women like to "marry up", whereas men are willing to marry down.
Now comes the key point. Even a rather small discrepancy between supply and demand in an auction market can quickly drive prices thru the roof, or the floor. Great example: recent oil prices. Back when the economy was going well prices could shoot up rapidly as oil fields became exhausted and development of new ones was blocked. When the economy talked and demand dropped just a few percent, prices collapsed from $147 to $39, or some such. I read his account too quickly to fully follow it, and I'm sorry I can't remember it, but small-supply-imbalances-can-produce-huge-price-swings was the gist of it. Sorry, I don't have the book available to check it.
>> This is how you come to the Eligible-Bachelor Paradox, which is no longer so paradoxical. The pool of appealing men shrinks as many are married off and taken out of the game, leaving a disproportionate number of men who are notably imperfect (perhaps they are short, socially awkward, underemployed).