Finding the Third Proportional to 52,494 and 83,481

Step by Step Solution

1. Step 1: Write the proportion equation
   52,494 : 83,481 = 83,481 : x
2. Step 2: Convert to fraction form
   52,494/83,481 = 83,481/x
3. Step 3: Cross multiply
   52,494x = 83,481 × 83,481
4. Step 4: Simplify right side
   52,494x = 6,969,077,361
5. Step 5: Solve for x
   x = 6,969,077,361/52,494
6. Step 6: Final answer
   x = 132,759.50