Finding the Third Proportional to 31,960.13 and 69,752.25

Step by Step Solution

1. Step 1: Write the proportion equation
   31,960.13 : 69,752.25 = 69,752.25 : x
2. Step 2: Convert to fraction form
   31,960.13/69,752.25 = 69,752.25/x
3. Step 3: Cross multiply
   31,960.13x = 69,752.25 × 69,752.25
4. Step 4: Simplify right side
   31,960.13x = 4,865,376,380.06
5. Step 5: Solve for x
   x = 4,865,376,380.06/31,960.13
6. Step 6: Final answer
   x = 152,232.71