Finding the Third Proportional to 31,900.50 and 74,508.75

Step by Step Solution

1. Step 1: Write the proportion equation
   31,900.50 : 74,508.75 = 74,508.75 : x
2. Step 2: Convert to fraction form
   31,900.50/74,508.75 = 74,508.75/x
3. Step 3: Cross multiply
   31,900.50x = 74,508.75 × 74,508.75
4. Step 4: Simplify right side
   31,900.50x = 5,551,553,826.56
5. Step 5: Solve for x
   x = 5,551,553,826.56/31,900.50
6. Step 6: Final answer
   x = 174,027.17