Four are believed to have been injured by the same shark while in waters off the southern coast of Texas on the Fourth of July, officials said.
First responders from the South Padre Island police and fire departments provided treatment at the scene before the man was transported to Valley Regional Medical Center in Brownsville, police said.
Footage from a beachgoer who witnessed the incident showed a shark swimming near the shore in the vicinity of that attack.
A second person was bitten by the shark, while one was grazed and another injured fending off the shark, Dowdy told KRGV.
The second bite victim was also taken to Valley Regional Medical Center in Brownsville. One of the two bite victims was flown out for "further treatment," Police said Thursday night.
Officials had previously said four separate shark bites were reported before later clarifying the nature of the incidents.
The shark has escaped to open waters and there is no plan to contain the shark at this time, Dowdy told the station.