Finding the Third Proportional to 8,024 and 10,649

Step by Step Solution

1. Step 1: Write the proportion equation
   8,024 : 10,649 = 10,649 : x
2. Step 2: Convert to fraction form
   8,024/10,649 = 10,649/x
3. Step 3: Cross multiply
   8,024x = 10,649 × 10,649
4. Step 4: Simplify right side
   8,024x = 113,401,201
5. Step 5: Solve for x
   x = 113,401,201/8,024
6. Step 6: Final answer
   x = 14,132.75