Finding the Third Proportional to 41,684 and 58,701

Step by Step Solution

1. Step 1: Write the proportion equation
   41,684 : 58,701 = 58,701 : x
2. Step 2: Convert to fraction form
   41,684/58,701 = 58,701/x
3. Step 3: Cross multiply
   41,684x = 58,701 × 58,701
4. Step 4: Simplify right side
   41,684x = 3,445,807,401
5. Step 5: Solve for x
   x = 3,445,807,401/41,684
6. Step 6: Final answer
   x = 82,664.99