Finding the Third Proportional to 6,404.06 and 9,765.56

Step by Step Solution

1. Step 1: Write the proportion equation
   6,404.06 : 9,765.56 = 9,765.56 : x
2. Step 2: Convert to fraction form
   6,404.06/9,765.56 = 9,765.56/x
3. Step 3: Cross multiply
   6,404.06x = 9,765.56 × 9,765.56
4. Step 4: Simplify right side
   6,404.06x = 95,366,210.94
5. Step 5: Solve for x
   x = 95,366,210.94/6,404.06
6. Step 6: Final answer
   x = 14,891.52