Finding the Third Proportional to 11,765.25 and 25,238.25

Step by Step Solution

1. Step 1: Write the proportion equation
   11,765.25 : 25,238.25 = 25,238.25 : x
2. Step 2: Convert to fraction form
   11,765.25/25,238.25 = 25,238.25/x
3. Step 3: Cross multiply
   11,765.25x = 25,238.25 × 25,238.25
4. Step 4: Simplify right side
   11,765.25x = 636,969,263.06
5. Step 5: Solve for x
   x = 636,969,263.06/11,765.25
6. Step 6: Final answer
   x = 54,139.88