Finding the Third Proportional to 8,206 and 17,799

Step by Step Solution

1. Step 1: Write the proportion equation
   8,206 : 17,799 = 17,799 : x
2. Step 2: Convert to fraction form
   8,206/17,799 = 17,799/x
3. Step 3: Cross multiply
   8,206x = 17,799 × 17,799
4. Step 4: Simplify right side
   8,206x = 316,804,401
5. Step 5: Solve for x
   x = 316,804,401/8,206
6. Step 6: Final answer
   x = 38,606.43