Finding the Third Proportional to 8,197 and 16,978

Step by Step Solution

1. Step 1: Write the proportion equation
   8,197 : 16,978 = 16,978 : x
2. Step 2: Convert to fraction form
   8,197/16,978 = 16,978/x
3. Step 3: Cross multiply
   8,197x = 16,978 × 16,978
4. Step 4: Simplify right side
   8,197x = 288,252,484
5. Step 5: Solve for x
   x = 288,252,484/8,197
6. Step 6: Final answer
   x = 35,165.61