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In 27 days; 56 men built 448 m wall.
In 1 day 56 men will build =448/27 m of wall
In 1 day,wall built by 1 man=448/(27×56)

Length of wall to be built=1000-448=552 m
Remaining days =50-27 = 23 days
in 23 days, 1 men will build = (23×448)/(27×56) m of wall

let total number of men required to complete it in time = x.
so x men will build 552m of wall in 23 days. Thus 

 \frac{23 \times 448 \times x}{27 \times 56} =552\\ \\x=  \frac{27 \times 56 \times 552}{23 \times 448}=81

Extra men = 81-56 = 25