Finding the Third Proportional to 31,315.75 and 65,708.75

Step by Step Solution

1. Step 1: Write the proportion equation
   31,315.75 : 65,708.75 = 65,708.75 : x
2. Step 2: Convert to fraction form
   31,315.75/65,708.75 = 65,708.75/x
3. Step 3: Cross multiply
   31,315.75x = 65,708.75 × 65,708.75
4. Step 4: Simplify right side
   31,315.75x = 4,317,639,826.56
5. Step 5: Solve for x
   x = 4,317,639,826.56/31,315.75
6. Step 6: Final answer
   x = 137,874.39