Finding the Third Proportional to 2,561.25 and 5,709.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,561.25 : 5,709.75 = 5,709.75 : x
2. Step 2: Convert to fraction form
   2,561.25/5,709.75 = 5,709.75/x
3. Step 3: Cross multiply
   2,561.25x = 5,709.75 × 5,709.75
4. Step 4: Simplify right side
   2,561.25x = 32,601,245.06
5. Step 5: Solve for x
   x = 32,601,245.06/2,561.25
6. Step 6: Final answer
   x = 12,728.65