Finding the Third Proportional to 52,784 and 82,632

Step by Step Solution

1. Step 1: Write the proportion equation
   52,784 : 82,632 = 82,632 : x
2. Step 2: Convert to fraction form
   52,784/82,632 = 82,632/x
3. Step 3: Cross multiply
   52,784x = 82,632 × 82,632
4. Step 4: Simplify right side
   52,784x = 6,828,047,424
5. Step 5: Solve for x
   x = 6,828,047,424/52,784
6. Step 6: Final answer
   x = 129,358.28