Finding the Third Proportional to 2,398.50 and 3,635

Step by Step Solution

1. Step 1: Write the proportion equation
   2,398.50 : 3,635 = 3,635 : x
2. Step 2: Convert to fraction form
   2,398.50/3,635 = 3,635/x
3. Step 3: Cross multiply
   2,398.50x = 3,635 × 3,635
4. Step 4: Simplify right side
   2,398.50x = 13,213,225
5. Step 5: Solve for x
   x = 13,213,225/2,398.50
6. Step 6: Final answer
   x = 5,508.95