Finding the Third Proportional to 2,327.75 and 5,065.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,327.75 : 5,065.25 = 5,065.25 : x
2. Step 2: Convert to fraction form
   2,327.75/5,065.25 = 5,065.25/x
3. Step 3: Cross multiply
   2,327.75x = 5,065.25 × 5,065.25
4. Step 4: Simplify right side
   2,327.75x = 25,656,757.56
5. Step 5: Solve for x
   x = 25,656,757.56/2,327.75
6. Step 6: Final answer
   x = 11,022.13