Finding the Third Proportional to 11,774 and 17,026

Step by Step Solution

1. Step 1: Write the proportion equation
   11,774 : 17,026 = 17,026 : x
2. Step 2: Convert to fraction form
   11,774/17,026 = 17,026/x
3. Step 3: Cross multiply
   11,774x = 17,026 × 17,026
4. Step 4: Simplify right side
   11,774x = 289,884,676
5. Step 5: Solve for x
   x = 289,884,676/11,774
6. Step 6: Final answer
   x = 24,620.75