Enter the Priest, God’s appointed mediator, who acts on behalf of men to bring about reconciliation by offering sacrifices for their sins and interceding for them.
For every high priest chosen from among men is appointed to act on behalf of men in relation to God, to offer gifts and sacrifices for sins. (Hebrews 5:1)
The old order of priests was of the tribe of Levi. However, the Levitical priesthood was inadequate to procure salvation, for as Hebrews declares, ‘it is impossible for the blood of bulls and goats to take away sins’ (Hebrews 10:4). The job of the Levitical priesthood was to foreshadow a new and superior priesthood. This superior priesthood had been prophesied in the Old Testament, and finally came to fulfilment in Jesus.
The LORD has sworn and will not change his mind, "You are a priest forever after the order of Melchizedek." (Psalm 110:4)
Although he was a son, [Jesus] learned obedience through what he suffered. And being made perfect, he became the source of eternal salvation to all who obey him, being designated by God a high priest after the order of Melchizedek. (Hebrews 5:8-10)
Jesus, having been appointed by God a high priest after the order of Melchizedek, has fully accomplished the salvation of all those who draw near to God through Him. He offered Himself once for all as a perfect sacrifice for sin, and now lives to make intercession forever.
Consequently, He is able to save to the uttermost those who draw near to God through Him, since He always lives to make intercession for them. (Hebrews 7:25)
He entered once for all into the holy places, not by means of the blood of goats and calves but by means of His own blood, thus securing an eternal redemption. (Hebrews 9:12)