Finding the Third Proportional to 3,778 and 5,666

Step by Step Solution

1. Step 1: Write the proportion equation
   3,778 : 5,666 = 5,666 : x
2. Step 2: Convert to fraction form
   3,778/5,666 = 5,666/x
3. Step 3: Cross multiply
   3,778x = 5,666 × 5,666
4. Step 4: Simplify right side
   3,778x = 32,103,556
5. Step 5: Solve for x
   x = 32,103,556/3,778
6. Step 6: Final answer
   x = 8,497.50