Finding the Third Proportional to 31,225.50 and 74,927.53

Step by Step Solution

1. Step 1: Write the proportion equation
   31,225.50 : 74,927.53 = 74,927.53 : x
2. Step 2: Convert to fraction form
   31,225.50/74,927.53 = 74,927.53/x
3. Step 3: Cross multiply
   31,225.50x = 74,927.53 × 74,927.53
4. Step 4: Simplify right side
   31,225.50x = 5,614,134,939.22
5. Step 5: Solve for x
   x = 5,614,134,939.22/31,225.50
6. Step 6: Final answer
   x = 179,793.28