A very cursory search would reveal that to be completely, utterly wrong. The Arab slave trade was at least as large (in terms of sheer number of victims), for a much greater duration, and as recent as 50-60 years ago if Wikipedia is to believed.
https://en.wikipedia.org/wiki/Arab_slave_trade
Historians estimate that between 650 and the 1960s, 10 to 18 million people were enslaved by Arab slave traders and taken from Europe, Asia and Africa across the Sahara, the Red Sea, and the western Indian Ocean.
http://www.theroot.com/articles/history/2012/10/how_many_sla...
http://www.slavevoyages.org/ Between 1525 and 1866, in the entire history of the slave trade to the New World, according to the Trans-Atlantic Slave Trade Database, 12.5 million Africans were shipped to the New World. 10.7 million survived the dreaded Middle Passage, disembarking in North America, the Caribbean and South America.