Thutmose II. didn't have a direct male inheritor, except the son he had with one of his minor wife Iset. So after death of Thutmose II. in 1,480 BC, this son of him - Thutmose III. was pronounced the Pharaoh.
Regency mother and aunt Hatshepsut
But Thutmose III. wasn't old enough, so his step-mother and aunt - Hatshepsut became a regent. Her regency changed to a real reign very soon and young Thutmose III. was put aside for 22 years. We don't know, if he was brought up outside the royal palace, but it is supposed that he stayed in Memphis (Mennefer). A military garrison was there, where he gained the first military experience.
The boom of Egypt during the reign of Thutmose III.
Thutmose III. is considered as one of the most significant Pharaohs of Egyptian history. He became famous through his military campaigns, where he proved abilities. Egypt gained such a territory expansion under his rule that nobody of his successors could repeat it.
The Egyptian empire spread out from the 4th Nile cataract to Euphrates in Anatolia. Thutmose III. had to conduct 17 campaigns before order was established in the Near East. It was because of the Mitanni Kingdom, which was situated in the territory of today's Armenia, Syria and Assyria and wanted to get the area coming under Egypt.
Thutmose III. - pharaoh conqueror
Thutmose III. conquered Syria and Palestina at first and was reorganizing the state administration there for 3 years. Then he focused his effort to several Phoenician harbours to get safe naval base and avoid a long journey overland that also led largely through the desert. After this he started 8th campaign against the Mitanni Kingdom. Thutmose passed over Syria, got to the Euphrates river and finally defeated the enemy in the battle of Megiddo (in the area of today's Israel).
This victory was so convincing that the Hittites, Babylonians and Assyrians submitted rather voluntarily to Egypt. Thutmose III was very powerful, but he was also very merciless. It was said that he exhibited the heads of defeated enemies as hunting trophies! He suppressed a rising in Sudan at the end of his life and his army got to the 4th cataract. Nobody of his predecessors got that far.
There was no problem with succession after the death of Thutmose III. He didn't was to admit similar problems he had and involved in reign his successor Amenhotep II, when he was still alive. So when Thutmose III died in 1,424 BC, Amenhotep II came to the throne.