Finding the Third Proportional to 9,600 and 12,756

Step by Step Solution

1. Step 1: Write the proportion equation
   9,600 : 12,756 = 12,756 : x
2. Step 2: Convert to fraction form
   9,600/12,756 = 12,756/x
3. Step 3: Cross multiply
   9,600x = 12,756 × 12,756
4. Step 4: Simplify right side
   9,600x = 162,715,536
5. Step 5: Solve for x
   x = 162,715,536/9,600
6. Step 6: Final answer
   x = 16,949.54