Finding the Third Proportional to 10,658 and 17,026

Step by Step Solution

1. Step 1: Write the proportion equation
   10,658 : 17,026 = 17,026 : x
2. Step 2: Convert to fraction form
   10,658/17,026 = 17,026/x
3. Step 3: Cross multiply
   10,658x = 17,026 × 17,026
4. Step 4: Simplify right side
   10,658x = 289,884,676
5. Step 5: Solve for x
   x = 289,884,676/10,658
6. Step 6: Final answer
   x = 27,198.79