The corporate charter of Central, Inc. authorized the issuance of $20$ million, $$1$ par common shares. During $2024,$ its first year of operations, Central had the following transactions:

January $2,2024$

Sold $12$ million shares at $$6$ per share

September $12,2024$

Reacquired $5$ million treasury shares at $$8$ per share

December $18,2024$

Resold $2$ million treasury shares at $$9$ per share

What amount should Central report as additional paid$-$in capital in its December $31,2024,$ balance sheet?

$$52$ million

$$62$ million

$$66$ million

$$58$ million