Finding the Third Proportional to 2,402 and 3,706

Step by Step Solution

1. Step 1: Write the proportion equation
   2,402 : 3,706 = 3,706 : x
2. Step 2: Convert to fraction form
   2,402/3,706 = 3,706/x
3. Step 3: Cross multiply
   2,402x = 3,706 × 3,706
4. Step 4: Simplify right side
   2,402x = 13,734,436
5. Step 5: Solve for x
   x = 13,734,436/2,402
6. Step 6: Final answer
   x = 5,717.92