Finding the Third Proportional to 11,256 and 17,228

Step by Step Solution

1. Step 1: Write the proportion equation
   11,256 : 17,228 = 17,228 : x
2. Step 2: Convert to fraction form
   11,256/17,228 = 17,228/x
3. Step 3: Cross multiply
   11,256x = 17,228 × 17,228
4. Step 4: Simplify right side
   11,256x = 296,803,984
5. Step 5: Solve for x
   x = 296,803,984/11,256
6. Step 6: Final answer
   x = 26,368.51