Finding the Third Proportional to 9,408 and 11,456

Step by Step Solution

1. Step 1: Write the proportion equation
   9,408 : 11,456 = 11,456 : x
2. Step 2: Convert to fraction form
   9,408/11,456 = 11,456/x
3. Step 3: Cross multiply
   9,408x = 11,456 × 11,456
4. Step 4: Simplify right side
   9,408x = 131,239,936
5. Step 5: Solve for x
   x = 131,239,936/9,408
6. Step 6: Final answer
   x = 13,949.82