第二子は男の子だって。これでめでたく一姫二太郎ってわけだね。

tbd

Your second child is a boy? Lucky you! Things are going according to the saying - Have a girl first and a boy next.

その一件はめでたく落着するだろう。

tbd

The affair will come to a happy conclusion.

そのめでたいときに当たり彼は祝辞を述べた。

tbd

He offered his congratulations on the happy occasion.