Finding the Third Proportional to 31,997 and 51,118

Step by Step Solution

1. Step 1: Write the proportion equation
   31,997 : 51,118 = 51,118 : x
2. Step 2: Convert to fraction form
   31,997/51,118 = 51,118/x
3. Step 3: Cross multiply
   31,997x = 51,118 × 51,118
4. Step 4: Simplify right side
   31,997x = 2,613,049,924
5. Step 5: Solve for x
   x = 2,613,049,924/31,997
6. Step 6: Final answer
   x = 81,665.47