Finding the Third Proportional to 11,553.75 and 25,262.25

Step by Step Solution

1. Step 1: Write the proportion equation
   11,553.75 : 25,262.25 = 25,262.25 : x
2. Step 2: Convert to fraction form
   11,553.75/25,262.25 = 25,262.25/x
3. Step 3: Cross multiply
   11,553.75x = 25,262.25 × 25,262.25
4. Step 4: Simplify right side
   11,553.75x = 638,181,275.06
5. Step 5: Solve for x
   x = 638,181,275.06/11,553.75
6. Step 6: Final answer
   x = 55,235.86