Finding the Third Proportional to 6,399.56 and 9,688.78

Step by Step Solution

1. Step 1: Write the proportion equation
   6,399.56 : 9,688.78 = 9,688.78 : x
2. Step 2: Convert to fraction form
   6,399.56/9,688.78 = 9,688.78/x
3. Step 3: Cross multiply
   6,399.56x = 9,688.78 × 9,688.78
4. Step 4: Simplify right side
   6,399.56x = 93,872,482.11
5. Step 5: Solve for x
   x = 93,872,482.11/6,399.56
6. Step 6: Final answer
   x = 14,668.58