Finding the Third Proportional to 2,456.25 and 5,304.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,456.25 : 5,304.75 = 5,304.75 : x
2. Step 2: Convert to fraction form
   2,456.25/5,304.75 = 5,304.75/x
3. Step 3: Cross multiply
   2,456.25x = 5,304.75 × 5,304.75
4. Step 4: Simplify right side
   2,456.25x = 28,140,372.56
5. Step 5: Solve for x
   x = 28,140,372.56/2,456.25
6. Step 6: Final answer
   x = 11,456.64