Finding the Third Proportional to 11,540.25 and 25,215.75

Step by Step Solution

1. Step 1: Write the proportion equation
   11,540.25 : 25,215.75 = 25,215.75 : x
2. Step 2: Convert to fraction form
   11,540.25/25,215.75 = 25,215.75/x
3. Step 3: Cross multiply
   11,540.25x = 25,215.75 × 25,215.75
4. Step 4: Simplify right side
   11,540.25x = 635,834,048.06
5. Step 5: Solve for x
   x = 635,834,048.06/11,540.25
6. Step 6: Final answer
   x = 55,097.08