Finding the Third Proportional to 5,686 and 10,778

Step by Step Solution

1. Step 1: Write the proportion equation
   5,686 : 10,778 = 10,778 : x
2. Step 2: Convert to fraction form
   5,686/10,778 = 10,778/x
3. Step 3: Cross multiply
   5,686x = 10,778 × 10,778
4. Step 4: Simplify right side
   5,686x = 116,165,284
5. Step 5: Solve for x
   x = 116,165,284/5,686
6. Step 6: Final answer
   x = 20,430.05