Finding the Third Proportional to 10,680 and 13,996

Step by Step Solution

1. Step 1: Write the proportion equation
   10,680 : 13,996 = 13,996 : x
2. Step 2: Convert to fraction form
   10,680/13,996 = 13,996/x
3. Step 3: Cross multiply
   10,680x = 13,996 × 13,996
4. Step 4: Simplify right side
   10,680x = 195,888,016
5. Step 5: Solve for x
   x = 195,888,016/10,680
6. Step 6: Final answer
   x = 18,341.57