Frontier Airlines reported a 71% increase in airfare in the third quarter as rising fuel costs were passed down to the company's customers. 

The airline's average fare revenue per passenger increased from $67.82 in the third quarter, up from $39.74 last year, CNBC reported. Including luggage and other fees, total revenue per passenger rose 30% on an annual basis to $138.22. 

Despite higher ticket prices, passengers continued to book flights on Frontier. The airline's passenger count increased 18% to more than 9.8 million people in the third quarter, up 1.5 million passengers from last year. 

Despite rising demand, the company reported a loss in the third quarter, increasing to $104 million from $77 million the previous year, while its fuel bill increased 82% to $425 million. 

Frontier shares were up more than 9% in afternoon trading Wednesday.