Finding the Third Proportional to 31,502.25 and 68,019.75

Step by Step Solution

1. Step 1: Write the proportion equation
   31,502.25 : 68,019.75 = 68,019.75 : x
2. Step 2: Convert to fraction form
   31,502.25/68,019.75 = 68,019.75/x
3. Step 3: Cross multiply
   31,502.25x = 68,019.75 × 68,019.75
4. Step 4: Simplify right side
   31,502.25x = 4,626,686,390.06
5. Step 5: Solve for x
   x = 4,626,686,390.06/31,502.25
6. Step 6: Final answer
   x = 146,868.44