Ehm you have that reversed (or your phrasing is terrible). Production>consumption implies export>imports implies lending to abroad exceeds borrowing from abroad. Said differently, if the current account is in surplus, the capital account is (by definition) in deficit.

To make this all a bit more intuitive: suppose instead of spending money on consumption goods, we invest in foreign assets. In that case we spend less meaning that we either import less foreign goods or have more domestic produced goods available for export. The consequence is an increase in the current account surplus.