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It is always joyous when the Churches of the East and the West observe the same liturgical feast on the same day.

From the extraordinary form of the Roman rite for the Feast of the Exaltation of the Holy Cross:

O God, Who gladden us this day by the yearly feast of the Exaltation of the Holy Cross, grant, we beseech You, that we who know on earth the mysteries of Christ may be found worthy to obtain in heaven the rewards of His redemption. Through the same Lord Jesus Christ thy Son, Who with Thee, livest and reignest in the unity of the same Holy Ghost, God, forever and ever. +Amen.
Christ became obedient for us to death, even to death on a cross. Therefore God also has exalted Him, and has bestowed upon Him the name that is above every name. Alleluia, alleluia. Sweet the wood, sweet the nails, sweet the load that hangs on you: to bear up the King and Lord of heaven, you alone were worthy. Alleluia.
Through the sign of the Holy Cross protect Your people, O Lord, from the snares of all their enemies, that we may pay You a worthy service, and our sacrifice may be acceptable to You.
Through the sign of the Cross, deliver us from our enemies, O our God.