Finding the Third Proportional to 2,471.25 and 5,256.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,471.25 : 5,256.75 = 5,256.75 : x
2. Step 2: Convert to fraction form
   2,471.25/5,256.75 = 5,256.75/x
3. Step 3: Cross multiply
   2,471.25x = 5,256.75 × 5,256.75
4. Step 4: Simplify right side
   2,471.25x = 27,633,420.56
5. Step 5: Solve for x
   x = 27,633,420.56/2,471.25
6. Step 6: Final answer
   x = 11,181.96