Finding the Third Proportional to 11,797 and 17,269

Step by Step Solution

1. Step 1: Write the proportion equation
   11,797 : 17,269 = 17,269 : x
2. Step 2: Convert to fraction form
   11,797/17,269 = 17,269/x
3. Step 3: Cross multiply
   11,797x = 17,269 × 17,269
4. Step 4: Simplify right side
   11,797x = 298,218,361
5. Step 5: Solve for x
   x = 298,218,361/11,797
6. Step 6: Final answer
   x = 25,279.17