Finding the Third Proportional to 5,065.50 and 7,665.75

Step by Step Solution

1. Step 1: Write the proportion equation
   5,065.50 : 7,665.75 = 7,665.75 : x
2. Step 2: Convert to fraction form
   5,065.50/7,665.75 = 7,665.75/x
3. Step 3: Cross multiply
   5,065.50x = 7,665.75 × 7,665.75
4. Step 4: Simplify right side
   5,065.50x = 58,763,723.06
5. Step 5: Solve for x
   x = 58,763,723.06/5,065.50
6. Step 6: Final answer
   x = 11,600.77