तत: thereafter, स: मुनि: Valmiki maharshi, तस्मिन् तीर्थे at that holy spot, यथाविधि according to the prescribed ritual, अभिषेकम् bathing, कृत्वा having performed, तम् that, अर्थमेव the matter itself, चिन्तयन् pondering over, उपावर्तत वै returned (to his hermitage).

After having performed his ablution at that holy spot according to the prescribed ritual, the sage (Valmiki) returned (to his hermitage), pondering over the matter.