Finding the Third Proportional to 8,205 and 17,846

Step by Step Solution

1. Step 1: Write the proportion equation
   8,205 : 17,846 = 17,846 : x
2. Step 2: Convert to fraction form
   8,205/17,846 = 17,846/x
3. Step 3: Cross multiply
   8,205x = 17,846 × 17,846
4. Step 4: Simplify right side
   8,205x = 318,479,716
5. Step 5: Solve for x
   x = 318,479,716/8,205
6. Step 6: Final answer
   x = 38,815.32