This verse is part of the story of Abraham's servant, who is tasked with finding a wife for Isaac from among Abraham's relatives in Mesopotamia. He has journeyed a long distance and is now near the city of Nahor. Here's a breakdown of the verse and its meaning:

"I came today to the spring..." The servant has arrived at a well or spring outside the city. Springs were important sources of water and gathering places, making them ideal spots to meet people, especially women who would come to draw water.

"...and said, ‘Yahweh, the God of my master Abraham..." This is a prayer. He is appealing to God, specifically identifying him as Yahweh (the covenant name of God) and emphasizing the relationship God has with Abraham. He is leveraging Abraham's reputation and the covenant relationship between Abraham and God.

"...if now you do prosper my way which I go—" This is the heart of his request. He's asking God to make his mission successful. "Prosper my way" means to grant him success, to smooth his path, and to ensure that his efforts are fruitful. He's acknowledging that the outcome of his journey depends on God's intervention. He's making a specific request, asking for guidance and divine intervention to ensure he finds the right woman for Isaac.

In essence, the verse shows the servant:

Seeking divine guidance: He recognizes that his success is not solely in his own hands.
Praying with faith: He believes that God can and will influence the outcome of his mission.
Acknowledging God's covenant with Abraham: He's reminding God of the special relationship He has with Abraham, hoping that God will extend favor to Abraham's family through him.
Humbly requesting God's blessing: He's not demanding, but humbly asking for God to "prosper" his journey.

The verse sets the stage for the specific sign he asks God to provide in the following verses, which will help him identify the right woman for Isaac. This passage is often used to illustrate the importance of prayer and seeking God's guidance in significant decisions.