Finding the Third Proportional to 8,384 and 17,852

Step by Step Solution

1. Step 1: Write the proportion equation
   8,384 : 17,852 = 17,852 : x
2. Step 2: Convert to fraction form
   8,384/17,852 = 17,852/x
3. Step 3: Cross multiply
   8,384x = 17,852 × 17,852
4. Step 4: Simplify right side
   8,384x = 318,693,904
5. Step 5: Solve for x
   x = 318,693,904/8,384
6. Step 6: Final answer
   x = 38,012.15