Finding the Third Proportional to 31,374 and 65,824.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,374 : 65,824.50 = 65,824.50 : x
2. Step 2: Convert to fraction form
   31,374/65,824.50 = 65,824.50/x
3. Step 3: Cross multiply
   31,374x = 65,824.50 × 65,824.50
4. Step 4: Simplify right side
   31,374x = 4,332,864,800.25
5. Step 5: Solve for x
   x = 4,332,864,800.25/31,374
6. Step 6: Final answer
   x = 138,103.68