Finding the Third Proportional to 2,376 and 3,666

Step by Step Solution

1. Step 1: Write the proportion equation
   2,376 : 3,666 = 3,666 : x
2. Step 2: Convert to fraction form
   2,376/3,666 = 3,666/x
3. Step 3: Cross multiply
   2,376x = 3,666 × 3,666
4. Step 4: Simplify right side
   2,376x = 13,439,556
5. Step 5: Solve for x
   x = 13,439,556/2,376
6. Step 6: Final answer
   x = 5,656.38