Finding the Third Proportional to 40,900 and 57,582

Step by Step Solution

1. Step 1: Write the proportion equation
   40,900 : 57,582 = 57,582 : x
2. Step 2: Convert to fraction form
   40,900/57,582 = 57,582/x
3. Step 3: Cross multiply
   40,900x = 57,582 × 57,582
4. Step 4: Simplify right side
   40,900x = 3,315,686,724
5. Step 5: Solve for x
   x = 3,315,686,724/40,900
6. Step 6: Final answer
   x = 81,068.14