Finding the Third Proportional to 5,105.53 and 8,965.69

Step by Step Solution

1. Step 1: Write the proportion equation
   5,105.53 : 8,965.69 = 8,965.69 : x
2. Step 2: Convert to fraction form
   5,105.53/8,965.69 = 8,965.69/x
3. Step 3: Cross multiply
   5,105.53x = 8,965.69 × 8,965.69
4. Step 4: Simplify right side
   5,105.53x = 80,383,552.35
5. Step 5: Solve for x
   x = 80,383,552.35/5,105.53
6. Step 6: Final answer
   x = 15,744.41