Finding the Third Proportional to 31,681 and 68,042

Step by Step Solution

1. Step 1: Write the proportion equation
   31,681 : 68,042 = 68,042 : x
2. Step 2: Convert to fraction form
   31,681/68,042 = 68,042/x
3. Step 3: Cross multiply
   31,681x = 68,042 × 68,042
4. Step 4: Simplify right side
   31,681x = 4,629,713,764
5. Step 5: Solve for x
   x = 4,629,713,764/31,681
6. Step 6: Final answer
   x = 146,135.34