Finding the Third Proportional to 5,682 and 10,770

Step by Step Solution

1. Step 1: Write the proportion equation
   5,682 : 10,770 = 10,770 : x
2. Step 2: Convert to fraction form
   5,682/10,770 = 10,770/x
3. Step 3: Cross multiply
   5,682x = 10,770 × 10,770
4. Step 4: Simplify right side
   5,682x = 115,992,900
5. Step 5: Solve for x
   x = 115,992,900/5,682
6. Step 6: Final answer
   x = 20,414.10