Finding the Third Proportional to 41,976 and 58,684

Step by Step Solution

1. Step 1: Write the proportion equation
   41,976 : 58,684 = 58,684 : x
2. Step 2: Convert to fraction form
   41,976/58,684 = 58,684/x
3. Step 3: Cross multiply
   41,976x = 58,684 × 58,684
4. Step 4: Simplify right side
   41,976x = 3,443,811,856
5. Step 5: Solve for x
   x = 3,443,811,856/41,976
6. Step 6: Final answer
   x = 82,042.40