Finding the Third Proportional to 52,569 and 83,685

Step by Step Solution

1. Step 1: Write the proportion equation
   52,569 : 83,685 = 83,685 : x
2. Step 2: Convert to fraction form
   52,569/83,685 = 83,685/x
3. Step 3: Cross multiply
   52,569x = 83,685 × 83,685
4. Step 4: Simplify right side
   52,569x = 7,003,179,225
5. Step 5: Solve for x
   x = 7,003,179,225/52,569
6. Step 6: Final answer
   x = 133,218.80