The newspaper reported Grylls' insurance company had arranged for a private air ambulance to fly him to South Africa Saturday night for treatment of the compound fracture.
Grylls, a 34-year-old former British military commando, apparently took a bad fall while taking part in a cross-country trek to a mountain peak near the South Pole.
The newspaper said the evacuation was an adventure in itself that required flying into a frigid, high-altitude landing strip.
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