Finding the Third Proportional to 52,771 and 83,558

Step by Step Solution

1. Step 1: Write the proportion equation
   52,771 : 83,558 = 83,558 : x
2. Step 2: Convert to fraction form
   52,771/83,558 = 83,558/x
3. Step 3: Cross multiply
   52,771x = 83,558 × 83,558
4. Step 4: Simplify right side
   52,771x = 6,981,939,364
5. Step 5: Solve for x
   x = 6,981,939,364/52,771
6. Step 6: Final answer
   x = 132,306.37