Finding the Third Proportional to 31,832 and 68,040

Step by Step Solution

1. Step 1: Write the proportion equation
   31,832 : 68,040 = 68,040 : x
2. Step 2: Convert to fraction form
   31,832/68,040 = 68,040/x
3. Step 3: Cross multiply
   31,832x = 68,040 × 68,040
4. Step 4: Simplify right side
   31,832x = 4,629,441,600
5. Step 5: Solve for x
   x = 4,629,441,600/31,832
6. Step 6: Final answer
   x = 145,433.58