Finding the Third Proportional to 11,638 and 17,419

Step by Step Solution

1. Step 1: Write the proportion equation
   11,638 : 17,419 = 17,419 : x
2. Step 2: Convert to fraction form
   11,638/17,419 = 17,419/x
3. Step 3: Cross multiply
   11,638x = 17,419 × 17,419
4. Step 4: Simplify right side
   11,638x = 303,421,561
5. Step 5: Solve for x
   x = 303,421,561/11,638
6. Step 6: Final answer
   x = 26,071.62