Caution: Translations of Quran and Ḥadīth may lead to possible misapplications and misinterpretations. This site is intended for students of sacred knowledge that are proficient in comprehending classical Arabic and have a strong foundation in Islamic sciences. Also note that religious injunctions rely on several aspects beyond what one may glean through reading individual aḥādīth.
abudawud:324Muḥammad b. Bashhār > Muḥammad / Ibn Jaʿfar > Shuʿbah > Salamah > Dhar > Ibn ʿAbd al-Raḥman b. Abzá from his father > ʿAmmār Bihadhih al-Qiṣṣah

This would have been enough for you, and the Prophet ﷺ struck the ground with his hand. He then blew it and wiped with it his face and hands. Being doubtful Salamah said: I do not know (whether he wiped) up to the elbows or the wrists.  

أبو داود:٣٢٤حَدَّثَنَا مُحَمَّدُ بْنُ بَشَّارٍ حَدَّثَنَا مُحَمَّدٌ يَعْنِي ابْنَ جَعْفَرٍ أَخْبَرَنَا شُعْبَةُ عَنْ سَلَمَةَ عَنْ ذَرٍّ عَنِ ابْنِ عَبْدِ الرَّحْمَنِ بْنِ أَبْزَى عَنْ أَبِيهِ عَنْ عَمَّارٍ بِهَذِهِ الْقِصَّةِ فَقَالَ

إِنَّمَا كَانَ يَكْفِيكَ وَضَرَبَ النَّبِيُّ ﷺ بِيَدِهِ إِلَى الأَرْضِ ثُمَّ نَفَخَ فِيهَا وَمَسَحَ بِهَا وَجْهَهُ وَكَفَّيْهِ شَكَّ سَلَمَةُ وَقَالَ لاَ أَدْرِي فِيهِ إِلَى الْمِرْفَقَيْنِ يَعْنِي أَوْ إِلَى الْكَفَّيْنِ