Finding the Third Proportional to 11,555 and 17,255

Step by Step Solution

1. Step 1: Write the proportion equation
   11,555 : 17,255 = 17,255 : x
2. Step 2: Convert to fraction form
   11,555/17,255 = 17,255/x
3. Step 3: Cross multiply
   11,555x = 17,255 × 17,255
4. Step 4: Simplify right side
   11,555x = 297,735,025
5. Step 5: Solve for x
   x = 297,735,025/11,555
6. Step 6: Final answer
   x = 25,766.77