Finding the Third Proportional to 10,680 and 16,388

Step by Step Solution

1. Step 1: Write the proportion equation
   10,680 : 16,388 = 16,388 : x
2. Step 2: Convert to fraction form
   10,680/16,388 = 16,388/x
3. Step 3: Cross multiply
   10,680x = 16,388 × 16,388
4. Step 4: Simplify right side
   10,680x = 268,566,544
5. Step 5: Solve for x
   x = 268,566,544/10,680
6. Step 6: Final answer
   x = 25,146.68