Finding the Third Proportional to 23,331 and 31,432.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,331 : 31,432.50 = 31,432.50 : x
2. Step 2: Convert to fraction form
   23,331/31,432.50 = 31,432.50/x
3. Step 3: Cross multiply
   23,331x = 31,432.50 × 31,432.50
4. Step 4: Simplify right side
   23,331x = 988,002,056.25
5. Step 5: Solve for x
   x = 988,002,056.25/23,331
6. Step 6: Final answer
   x = 42,347.18