Finding the Third Proportional to 10,896 and 13,380

Step by Step Solution

1. Step 1: Write the proportion equation
   10,896 : 13,380 = 13,380 : x
2. Step 2: Convert to fraction form
   10,896/13,380 = 13,380/x
3. Step 3: Cross multiply
   10,896x = 13,380 × 13,380
4. Step 4: Simplify right side
   10,896x = 179,024,400
5. Step 5: Solve for x
   x = 179,024,400/10,896
6. Step 6: Final answer
   x = 16,430.29