Finding the Third Proportional to 2,406 and 5,647

Step by Step Solution

1. Step 1: Write the proportion equation
   2,406 : 5,647 = 5,647 : x
2. Step 2: Convert to fraction form
   2,406/5,647 = 5,647/x
3. Step 3: Cross multiply
   2,406x = 5,647 × 5,647
4. Step 4: Simplify right side
   2,406x = 31,888,609
5. Step 5: Solve for x
   x = 31,888,609/2,406
6. Step 6: Final answer
   x = 13,253.79