Finding the Third Proportional to 9,540 and 16,800

Step by Step Solution

1. Step 1: Write the proportion equation
   9,540 : 16,800 = 16,800 : x
2. Step 2: Convert to fraction form
   9,540/16,800 = 16,800/x
3. Step 3: Cross multiply
   9,540x = 16,800 × 16,800
4. Step 4: Simplify right side
   9,540x = 282,240,000
5. Step 5: Solve for x
   x = 282,240,000/9,540
6. Step 6: Final answer
   x = 29,584.91