Finding the Third Proportional to 10,640 and 12,416

Step by Step Solution

1. Step 1: Write the proportion equation
   10,640 : 12,416 = 12,416 : x
2. Step 2: Convert to fraction form
   10,640/12,416 = 12,416/x
3. Step 3: Cross multiply
   10,640x = 12,416 × 12,416
4. Step 4: Simplify right side
   10,640x = 154,157,056
5. Step 5: Solve for x
   x = 154,157,056/10,640
6. Step 6: Final answer
   x = 14,488.45