Finding the Third Proportional to 41,684 and 59,566

Step by Step Solution

1. Step 1: Write the proportion equation
   41,684 : 59,566 = 59,566 : x
2. Step 2: Convert to fraction form
   41,684/59,566 = 59,566/x
3. Step 3: Cross multiply
   41,684x = 59,566 × 59,566
4. Step 4: Simplify right side
   41,684x = 3,548,108,356
5. Step 5: Solve for x
   x = 3,548,108,356/41,684
6. Step 6: Final answer
   x = 85,119.19