Finding the Third Proportional to 9,840 and 16,320

Step by Step Solution

1. Step 1: Write the proportion equation
   9,840 : 16,320 = 16,320 : x
2. Step 2: Convert to fraction form
   9,840/16,320 = 16,320/x
3. Step 3: Cross multiply
   9,840x = 16,320 × 16,320
4. Step 4: Simplify right side
   9,840x = 266,342,400
5. Step 5: Solve for x
   x = 266,342,400/9,840
6. Step 6: Final answer
   x = 27,067.32