Finding the Third Proportional to 8,229 and 17,814

Step by Step Solution

1. Step 1: Write the proportion equation
   8,229 : 17,814 = 17,814 : x
2. Step 2: Convert to fraction form
   8,229/17,814 = 17,814/x
3. Step 3: Cross multiply
   8,229x = 17,814 × 17,814
4. Step 4: Simplify right side
   8,229x = 317,338,596
5. Step 5: Solve for x
   x = 317,338,596/8,229
6. Step 6: Final answer
   x = 38,563.45