Finding the Third Proportional to 6,816 and 10,680

Step by Step Solution

1. Step 1: Write the proportion equation
   6,816 : 10,680 = 10,680 : x
2. Step 2: Convert to fraction form
   6,816/10,680 = 10,680/x
3. Step 3: Cross multiply
   6,816x = 10,680 × 10,680
4. Step 4: Simplify right side
   6,816x = 114,062,400
5. Step 5: Solve for x
   x = 114,062,400/6,816
6. Step 6: Final answer
   x = 16,734.51