Finding the Third Proportional to 31,238.25 and 68,022.75

Step by Step Solution

1. Step 1: Write the proportion equation
   31,238.25 : 68,022.75 = 68,022.75 : x
2. Step 2: Convert to fraction form
   31,238.25/68,022.75 = 68,022.75/x
3. Step 3: Cross multiply
   31,238.25x = 68,022.75 × 68,022.75
4. Step 4: Simplify right side
   31,238.25x = 4,627,094,517.56
5. Step 5: Solve for x
   x = 4,627,094,517.56/31,238.25
6. Step 6: Final answer
   x = 148,122.72