Finding the Third Proportional to 2,561.38 and 5,216.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,561.38 : 5,216.75 = 5,216.75 : x
2. Step 2: Convert to fraction form
   2,561.38/5,216.75 = 5,216.75/x
3. Step 3: Cross multiply
   2,561.38x = 5,216.75 × 5,216.75
4. Step 4: Simplify right side
   2,561.38x = 27,214,480.56
5. Step 5: Solve for x
   x = 27,214,480.56/2,561.38
6. Step 6: Final answer
   x = 10,624.95