Finding the Third Proportional to 54,252 and 82,142

Step by Step Solution

1. Step 1: Write the proportion equation
   54,252 : 82,142 = 82,142 : x
2. Step 2: Convert to fraction form
   54,252/82,142 = 82,142/x
3. Step 3: Cross multiply
   54,252x = 82,142 × 82,142
4. Step 4: Simplify right side
   54,252x = 6,747,308,164
5. Step 5: Solve for x
   x = 6,747,308,164/54,252
6. Step 6: Final answer
   x = 124,369.76