Finding the Third Proportional to 13,188.38 and 31,132.69

Step by Step Solution

1. Step 1: Write the proportion equation
   13,188.38 : 31,132.69 = 31,132.69 : x
2. Step 2: Convert to fraction form
   13,188.38/31,132.69 = 31,132.69/x
3. Step 3: Cross multiply
   13,188.38x = 31,132.69 × 31,132.69
4. Step 4: Simplify right side
   13,188.38x = 969,244,230.97
5. Step 5: Solve for x
   x = 969,244,230.97/13,188.38
6. Step 6: Final answer
   x = 73,492.32