Finding the Third Proportional to 8,494 and 10,582

Step by Step Solution

1. Step 1: Write the proportion equation
   8,494 : 10,582 = 10,582 : x
2. Step 2: Convert to fraction form
   8,494/10,582 = 10,582/x
3. Step 3: Cross multiply
   8,494x = 10,582 × 10,582
4. Step 4: Simplify right side
   8,494x = 111,978,724
5. Step 5: Solve for x
   x = 111,978,724/8,494
6. Step 6: Final answer
   x = 13,183.27