Muwatta Imam Malik Book of Purity, Hadith 71

Yahya related to me from Malik from Nafi that when Abdullah ibn Umar used to do ghusl for major ritual impurity he would begin by pouring water on his right hand and washing it. Then, in order, he would wash his genitals, rinse his mouth, snuff water in and out of his nose, wash his face and splash his eyes with water. Then he would wash his right arm and then his left, and after that he would wash his head. He would finish by having a complete wash and pouring water all over himself.

وَحَدَّثَنِي عَنْ مَالِكٍ، عَنْ نَافِعٍ، أَنَّ عَبْدَ اللَّهِ بْنَ عُمَرَ، كَانَ إِذَا اغْتَسَلَ مِنَ الْجَنَابَةِ بَدَأَ فَأَفْرَغَ عَلَى يَدِهِ الْيُمْنَى فَغَسَلَهَا ثُمَّ غَسَلَ فَرْجَهُ ثُمَّ مَضْمَضَ وَاسْتَنْثَرَ ثُمَّ غَسَلَ وَجْهَهُ وَنَضَحَ فِي عَيْنَيْهِ ثُمَّ غَسَلَ يَدَهُ الْيُمْنَى ثُمَّ الْيُسْرَى ثُمَّ غَسَلَ رَأْسَهُ ثُمَّ اغْتَسَلَ وَأَفَاضَ عَلَيْهِ الْمَاءَ .