Finding the Third Proportional to 3,378 and 3,666

Step by Step Solution

1. Step 1: Write the proportion equation
   3,378 : 3,666 = 3,666 : x
2. Step 2: Convert to fraction form
   3,378/3,666 = 3,666/x
3. Step 3: Cross multiply
   3,378x = 3,666 × 3,666
4. Step 4: Simplify right side
   3,378x = 13,439,556
5. Step 5: Solve for x
   x = 13,439,556/3,378
6. Step 6: Final answer
   x = 3,978.55