Finding the Third Proportional to 11,264 and 17,286

Step by Step Solution

1. Step 1: Write the proportion equation
   11,264 : 17,286 = 17,286 : x
2. Step 2: Convert to fraction form
   11,264/17,286 = 17,286/x
3. Step 3: Cross multiply
   11,264x = 17,286 × 17,286
4. Step 4: Simplify right side
   11,264x = 298,805,796
5. Step 5: Solve for x
   x = 298,805,796/11,264
6. Step 6: Final answer
   x = 26,527.50