Finding the Third Proportional to 8,329 and 17,762

Step by Step Solution

1. Step 1: Write the proportion equation
   8,329 : 17,762 = 17,762 : x
2. Step 2: Convert to fraction form
   8,329/17,762 = 17,762/x
3. Step 3: Cross multiply
   8,329x = 17,762 × 17,762
4. Step 4: Simplify right side
   8,329x = 315,488,644
5. Step 5: Solve for x
   x = 315,488,644/8,329
6. Step 6: Final answer
   x = 37,878.33