Finding the Third Proportional to 2,561.50 and 5,422.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,561.50 : 5,422.75 = 5,422.75 : x
2. Step 2: Convert to fraction form
   2,561.50/5,422.75 = 5,422.75/x
3. Step 3: Cross multiply
   2,561.50x = 5,422.75 × 5,422.75
4. Step 4: Simplify right side
   2,561.50x = 29,406,217.56
5. Step 5: Solve for x
   x = 29,406,217.56/2,561.50
6. Step 6: Final answer
   x = 11,480.08