Finding the Third Proportional to 7,702 and 16,870

Step by Step Solution

1. Step 1: Write the proportion equation
   7,702 : 16,870 = 16,870 : x
2. Step 2: Convert to fraction form
   7,702/16,870 = 16,870/x
3. Step 3: Cross multiply
   7,702x = 16,870 × 16,870
4. Step 4: Simplify right side
   7,702x = 284,596,900
5. Step 5: Solve for x
   x = 284,596,900/7,702
6. Step 6: Final answer
   x = 36,951.04