Finding the Third Proportional to 11,765.25 and 27,759.38

Step by Step Solution

1. Step 1: Write the proportion equation
   11,765.25 : 27,759.38 = 27,759.38 : x
2. Step 2: Convert to fraction form
   11,765.25/27,759.38 = 27,759.38/x
3. Step 3: Cross multiply
   11,765.25x = 27,759.38 × 27,759.38
4. Step 4: Simplify right side
   11,765.25x = 770,582,900.39
5. Step 5: Solve for x
   x = 770,582,900.39/11,765.25
6. Step 6: Final answer
   x = 65,496.52