Finding the Third Proportional to 8,166 and 17,026

Step by Step Solution

1. Step 1: Write the proportion equation
   8,166 : 17,026 = 17,026 : x
2. Step 2: Convert to fraction form
   8,166/17,026 = 17,026/x
3. Step 3: Cross multiply
   8,166x = 17,026 × 17,026
4. Step 4: Simplify right side
   8,166x = 289,884,676
5. Step 5: Solve for x
   x = 289,884,676/8,166
6. Step 6: Final answer
   x = 35,498.98