Can I extend my Airport Extreme's wireless network with a third-party repeater?
Despite very vague information on Apple's own website, it is not possible to extend Apple-based networks with non-Apple products. 

Apple only states: 


  "Wi–Fi base station - Any variety of AirPort Extreme Base Station,
  AirPort Express, or Time Capsule."


from this article - http://support.apple.com/en-us/HT202056