I will conclude the steps here:
1) Download 64 bit version of skype by below command
#wget http://commondatastorage.googleapis.com/xenodecdn/skype-2.2.0.35-2.x86_64.rpm
2) From the downloaded directory, do
#yum localinstall skype-2.2.0.35-2.x86_64.rpm
Now, skype should be installed in your system, once it is installed , run
#skype
Stage is yours!!! Njoy…