Finding the Third Proportional to 11,320 and 17,223

Step by Step Solution

1. Step 1: Write the proportion equation
   11,320 : 17,223 = 17,223 : x
2. Step 2: Convert to fraction form
   11,320/17,223 = 17,223/x
3. Step 3: Cross multiply
   11,320x = 17,223 × 17,223
4. Step 4: Simplify right side
   11,320x = 296,631,729
5. Step 5: Solve for x
   x = 296,631,729/11,320
6. Step 6: Final answer
   x = 26,204.22