Value after takeover = $37,500 + $4,000 + $600 = $42,100m.
Shares exchanged for Small Steel = 1.45 × 40m = 58m.
Post-takeover share price = value after takeover / shares outstanding = 42,100m / 558m = $75.45.
Takeover price = number of shares to small steel × post-takeover share price = 58m × $75.45 = $4,376.1m.
Gains to Small Steel = takeover premium = $4,376.1 – $4,000 = $376.1m.
Gains to Big Steel = synergies – takeover premium = $600 – $376.1 = $223.9m.