Finding the Third Proportional to 40,638 and 58,533

Step by Step Solution

1. Step 1: Write the proportion equation
   40,638 : 58,533 = 58,533 : x
2. Step 2: Convert to fraction form
   40,638/58,533 = 58,533/x
3. Step 3: Cross multiply
   40,638x = 58,533 × 58,533
4. Step 4: Simplify right side
   40,638x = 3,426,112,089
5. Step 5: Solve for x
   x = 3,426,112,089/40,638
6. Step 6: Final answer
   x = 84,308.09