Finding the Third Proportional to 11,383 and 17,420

Step by Step Solution

1. Step 1: Write the proportion equation
   11,383 : 17,420 = 17,420 : x
2. Step 2: Convert to fraction form
   11,383/17,420 = 17,420/x
3. Step 3: Cross multiply
   11,383x = 17,420 × 17,420
4. Step 4: Simplify right side
   11,383x = 303,456,400
5. Step 5: Solve for x
   x = 303,456,400/11,383
6. Step 6: Final answer
   x = 26,658.74