Final answer:
Glenn T. Seaborg, after Henry Moseley, reclassified transition metals and co-discovered ten new elements, contributing to the periodic table's modern structure with the addition of the actinide and lanthanide series in 1945.
Step-by-step explanation:
The scientist who is known for reclassifying several transition metal elements and co-discovering ten new elements after Henry Moseley is Glenn T. Seaborg. He proposed the addition of the actinide and lanthanide series at the bottom of the periodic table following the discovery of new radioactive elements during the Manhattan Project in 1945. Seaborg's suggestion initially met with resistance, but it is now an accepted part of all periodic tables. This marked a significant expansion to the periodic table since the time of Dmitri Mendeleev, who had created the periodic table in 1869 without the knowledge of noble gases or the nucleus of an atom, which were discoveries made later and impacted the table's formation.