Finding the Third Proportional to 13,638.38 and 18,411.05

Step by Step Solution

1. Step 1: Write the proportion equation
   13,638.38 : 18,411.05 = 18,411.05 : x
2. Step 2: Convert to fraction form
   13,638.38/18,411.05 = 18,411.05/x
3. Step 3: Cross multiply
   13,638.38x = 18,411.05 × 18,411.05
4. Step 4: Simplify right side
   13,638.38x = 338,966,647.03
5. Step 5: Solve for x
   x = 338,966,647.03/13,638.38
6. Step 6: Final answer
   x = 24,853.89