Finding the Third Proportional to 8,186 and 16,648

Step by Step Solution

1. Step 1: Write the proportion equation
   8,186 : 16,648 = 16,648 : x
2. Step 2: Convert to fraction form
   8,186/16,648 = 16,648/x
3. Step 3: Cross multiply
   8,186x = 16,648 × 16,648
4. Step 4: Simplify right side
   8,186x = 277,155,904
5. Step 5: Solve for x
   x = 277,155,904/8,186
6. Step 6: Final answer
   x = 33,857.31