Finding the Third Proportional to 11,798 and 17,474

Step by Step Solution

1. Step 1: Write the proportion equation
   11,798 : 17,474 = 17,474 : x
2. Step 2: Convert to fraction form
   11,798/17,474 = 17,474/x
3. Step 3: Cross multiply
   11,798x = 17,474 × 17,474
4. Step 4: Simplify right side
   11,798x = 305,340,676
5. Step 5: Solve for x
   x = 305,340,676/11,798
6. Step 6: Final answer
   x = 25,880.72