Finding the Third Proportional to 5,327.25 and 8,064.75

Step by Step Solution

1. Step 1: Write the proportion equation
   5,327.25 : 8,064.75 = 8,064.75 : x
2. Step 2: Convert to fraction form
   5,327.25/8,064.75 = 8,064.75/x
3. Step 3: Cross multiply
   5,327.25x = 8,064.75 × 8,064.75
4. Step 4: Simplify right side
   5,327.25x = 65,040,192.56
5. Step 5: Solve for x
   x = 65,040,192.56/5,327.25
6. Step 6: Final answer
   x = 12,208.96