كتاب الْمَسَاجِدِ وَمَوَاضِعِ الصَّلاَةِ
5  
The Book of Mosques and Places of Prayer
(34)
Chapter: It is recommended to pray `Asr early
(34)
باب اسْتِحْبَابِ التَّبْكِيرِ بِالْعَصْرِ
Sahih Muslim 621 b

This hadith that the Messenger of Allah (ﷺ) used to offer the afternoon prayer like the one narrated above has been transmitted by Anas b. Malik by another chain of transmitters.

وَحَدَّثَنِي هَارُونُ بْنُ سَعِيدٍ الأَيْلِيُّ، حَدَّثَنَا ابْنُ وَهْبٍ، أَخْبَرَنِي عَمْرٌو، عَنِ ابْنِ شِهَابٍ، عَنْ أَنَسٍ، ‏.‏ أَنَّ رَسُولَ اللَّهِ صلى الله عليه وسلم كَانَ يُصَلِّي الْعَصْرَ بِمِثْلِهِ سَوَاءً ‏.‏
Reference : Sahih Muslim 621b
In-book reference : Book 5, Hadith 243
USC-MSA web (English) reference : Book 4, Hadith 1298
  (deprecated numbering scheme)