Finding the Third Proportional to 31,927.50 and 74,571.75

Step by Step Solution

1. Step 1: Write the proportion equation
   31,927.50 : 74,571.75 = 74,571.75 : x
2. Step 2: Convert to fraction form
   31,927.50/74,571.75 = 74,571.75/x
3. Step 3: Cross multiply
   31,927.50x = 74,571.75 × 74,571.75
4. Step 4: Simplify right side
   31,927.50x = 5,560,945,898.06
5. Step 5: Solve for x
   x = 5,560,945,898.06/31,927.50
6. Step 6: Final answer
   x = 174,174.17