Finding the Third Proportional to 31,928.13 and 69,382.88

Step by Step Solution

1. Step 1: Write the proportion equation
   31,928.13 : 69,382.88 = 69,382.88 : x
2. Step 2: Convert to fraction form
   31,928.13/69,382.88 = 69,382.88/x
3. Step 3: Cross multiply
   31,928.13x = 69,382.88 × 69,382.88
4. Step 4: Simplify right side
   31,928.13x = 4,813,983,343.27
5. Step 5: Solve for x
   x = 4,813,983,343.27/31,928.13
6. Step 6: Final answer
   x = 150,775.64