Finding the Third Proportional to 31,778 and 68,142

Step by Step Solution

1. Step 1: Write the proportion equation
   31,778 : 68,142 = 68,142 : x
2. Step 2: Convert to fraction form
   31,778/68,142 = 68,142/x
3. Step 3: Cross multiply
   31,778x = 68,142 × 68,142
4. Step 4: Simplify right side
   31,778x = 4,643,332,164
5. Step 5: Solve for x
   x = 4,643,332,164/31,778
6. Step 6: Final answer
   x = 146,117.82