Finding the Third Proportional to 11,164 and 17,268

Step by Step Solution

1. Step 1: Write the proportion equation
   11,164 : 17,268 = 17,268 : x
2. Step 2: Convert to fraction form
   11,164/17,268 = 17,268/x
3. Step 3: Cross multiply
   11,164x = 17,268 × 17,268
4. Step 4: Simplify right side
   11,164x = 298,183,824
5. Step 5: Solve for x
   x = 298,183,824/11,164
6. Step 6: Final answer
   x = 26,709.41