The third day, there was a marriage in Cana of Galilee. Jesus' mother was there.
The third day ... is the third day after Nathaniel became a follower of Jesus; and, in this implied connection with Nathaniel, there is the probable explanation of how Jesus and his disciples came to be invited. Nathaniel was a native of Cana (John 21:2); and the small size of the village makes it quite easy to suppose that he was certainly acquainted with the bridegroom, or even a relative.  Also, Cana was only eight or ten miles northeast of Nazareth.