Finding the Third Proportional to 10,896 and 12,320

Step by Step Solution

1. Step 1: Write the proportion equation
   10,896 : 12,320 = 12,320 : x
2. Step 2: Convert to fraction form
   10,896/12,320 = 12,320/x
3. Step 3: Cross multiply
   10,896x = 12,320 × 12,320
4. Step 4: Simplify right side
   10,896x = 151,782,400
5. Step 5: Solve for x
   x = 151,782,400/10,896
6. Step 6: Final answer
   x = 13,930.10