Finding the Third Proportional to 2,418.50 and 3,647

Step by Step Solution

1. Step 1: Write the proportion equation
   2,418.50 : 3,647 = 3,647 : x
2. Step 2: Convert to fraction form
   2,418.50/3,647 = 3,647/x
3. Step 3: Cross multiply
   2,418.50x = 3,647 × 3,647
4. Step 4: Simplify right side
   2,418.50x = 13,300,609
5. Step 5: Solve for x
   x = 13,300,609/2,418.50
6. Step 6: Final answer
   x = 5,499.53