Finding the Third Proportional to 6,354 and 13,680

Step by Step Solution

1. Step 1: Write the proportion equation
   6,354 : 13,680 = 13,680 : x
2. Step 2: Convert to fraction form
   6,354/13,680 = 13,680/x
3. Step 3: Cross multiply
   6,354x = 13,680 × 13,680
4. Step 4: Simplify right side
   6,354x = 187,142,400
5. Step 5: Solve for x
   x = 187,142,400/6,354
6. Step 6: Final answer
   x = 29,452.69