Finding the Third Proportional to 31,691 and 68,062

Step by Step Solution

1. Step 1: Write the proportion equation
   31,691 : 68,062 = 68,062 : x
2. Step 2: Convert to fraction form
   31,691/68,062 = 68,062/x
3. Step 3: Cross multiply
   31,691x = 68,062 × 68,062
4. Step 4: Simplify right side
   31,691x = 4,632,435,844
5. Step 5: Solve for x
   x = 4,632,435,844/31,691
6. Step 6: Final answer
   x = 146,175.12