Finding the Third Proportional to 52,542 and 82,092.38

Step by Step Solution

1. Step 1: Write the proportion equation
   52,542 : 82,092.38 = 82,092.38 : x
2. Step 2: Convert to fraction form
   52,542/82,092.38 = 82,092.38/x
3. Step 3: Cross multiply
   52,542x = 82,092.38 × 82,092.38
4. Step 4: Simplify right side
   52,542x = 6,739,158,033.14
5. Step 5: Solve for x
   x = 6,739,158,033.14/52,542
6. Step 6: Final answer
   x = 128,262.31