Finding the Third Proportional to 1,638 and 2,433.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,638 : 2,433.38 = 2,433.38 : x
2. Step 2: Convert to fraction form
   1,638/2,433.38 = 2,433.38/x
3. Step 3: Cross multiply
   1,638x = 2,433.38 × 2,433.38
4. Step 4: Simplify right side
   1,638x = 5,921,313.89
5. Step 5: Solve for x
   x = 5,921,313.89/1,638
6. Step 6: Final answer
   x = 3,614.97