I asked my pranayama teacher in India what the right order is: He is a man with 30 years experience of yoga, he even studies the original texts: the right order is asanas, pranayama and then meditation.
My own experience: When I started with meditation I did it before the asana practice. My body was still stiff when I sat in lotus pose. During meditation I was distracted with pain in the legs. Nevertheless I was very happy that I had started with this practice - somehow.
After my Indian trip I did pranayama and meditation after the asanas. First I didn't like it that my body was so sweaty after the practice. I combined meditation, with clean white clothes and not with wet clothes. I decided to take a shower after practice and then I returned to the mat, washed and with new clothes on. I experienced this as an interruption.
Nowadays I don't care anymore if I am sweaty or not. After savasana (5 min), which is my last pose of the Ashtanga series, I put my yoga mat aside and fetch my Indian blanket to sit on it. I don't like to sit on the plastic mat. Am I like a princess on a pea? Probably yes. But yoga makes us sensitive towards ourselves and our surroundings. I put on a white jacket so that I do not feel cold in our cold climate here. This order feels great. First comes the more rough work, asanas. Breathing is already a bit more subtle. Meditation is the most calm exercise. I think it makes sense.
The old master are right: The correct order is asanas, pranayama and then meditation.
Make your own discoveries.
This post was for Flo.