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

Step by Step Solution

1. Step 1: Write the proportion equation
   3,402 : 3,706 = 3,706 : x
2. Step 2: Convert to fraction form
   3,402/3,706 = 3,706/x
3. Step 3: Cross multiply
   3,402x = 3,706 × 3,706
4. Step 4: Simplify right side
   3,402x = 13,734,436
5. Step 5: Solve for x
   x = 13,734,436/3,402
6. Step 6: Final answer
   x = 4,037.17