Finding the Third Proportional to 31,897.25 and 74,502.75

Step by Step Solution

1. Step 1: Write the proportion equation
   31,897.25 : 74,502.75 = 74,502.75 : x
2. Step 2: Convert to fraction form
   31,897.25/74,502.75 = 74,502.75/x
3. Step 3: Cross multiply
   31,897.25x = 74,502.75 × 74,502.75
4. Step 4: Simplify right side
   31,897.25x = 5,550,659,757.56
5. Step 5: Solve for x
   x = 5,550,659,757.56/31,897.25
6. Step 6: Final answer
   x = 174,016.87