Finding the Third Proportional to 2,402 and 3,622

Step by Step Solution

1. Step 1: Write the proportion equation
   2,402 : 3,622 = 3,622 : x
2. Step 2: Convert to fraction form
   2,402/3,622 = 3,622/x
3. Step 3: Cross multiply
   2,402x = 3,622 × 3,622
4. Step 4: Simplify right side
   2,402x = 13,118,884
5. Step 5: Solve for x
   x = 13,118,884/2,402
6. Step 6: Final answer
   x = 5,461.65