Finding the Third Proportional to 41,406 and 58,533

Step by Step Solution

1. Step 1: Write the proportion equation
   41,406 : 58,533 = 58,533 : x
2. Step 2: Convert to fraction form
   41,406/58,533 = 58,533/x
3. Step 3: Cross multiply
   41,406x = 58,533 × 58,533
4. Step 4: Simplify right side
   41,406x = 3,426,112,089
5. Step 5: Solve for x
   x = 3,426,112,089/41,406
6. Step 6: Final answer
   x = 82,744.34