Finding the Third Proportional to 8,006 and 16,870

Step by Step Solution

1. Step 1: Write the proportion equation
   8,006 : 16,870 = 16,870 : x
2. Step 2: Convert to fraction form
   8,006/16,870 = 16,870/x
3. Step 3: Cross multiply
   8,006x = 16,870 × 16,870
4. Step 4: Simplify right side
   8,006x = 284,596,900
5. Step 5: Solve for x
   x = 284,596,900/8,006
6. Step 6: Final answer
   x = 35,547.95