Finding the Third Proportional to 31,962 and 68,024

Step by Step Solution

1. Step 1: Write the proportion equation
   31,962 : 68,024 = 68,024 : x
2. Step 2: Convert to fraction form
   31,962/68,024 = 68,024/x
3. Step 3: Cross multiply
   31,962x = 68,024 × 68,024
4. Step 4: Simplify right side
   31,962x = 4,627,264,576
5. Step 5: Solve for x
   x = 4,627,264,576/31,962
6. Step 6: Final answer
   x = 144,773.94