Finding the Third Proportional to 3,684 and 5,622

Step by Step Solution

1. Step 1: Write the proportion equation
   3,684 : 5,622 = 5,622 : x
2. Step 2: Convert to fraction form
   3,684/5,622 = 5,622/x
3. Step 3: Cross multiply
   3,684x = 5,622 × 5,622
4. Step 4: Simplify right side
   3,684x = 31,606,884
5. Step 5: Solve for x
   x = 31,606,884/3,684
6. Step 6: Final answer
   x = 8,579.50