Finding the Third Proportional to 41,400 and 58,524

Step by Step Solution

1. Step 1: Write the proportion equation
   41,400 : 58,524 = 58,524 : x
2. Step 2: Convert to fraction form
   41,400/58,524 = 58,524/x
3. Step 3: Cross multiply
   41,400x = 58,524 × 58,524
4. Step 4: Simplify right side
   41,400x = 3,425,058,576
5. Step 5: Solve for x
   x = 3,425,058,576/41,400
6. Step 6: Final answer
   x = 82,730.88