Finding the Third Proportional to 17,638 and 24,182

Step by Step Solution

1. Step 1: Write the proportion equation
   17,638 : 24,182 = 24,182 : x
2. Step 2: Convert to fraction form
   17,638/24,182 = 24,182/x
3. Step 3: Cross multiply
   17,638x = 24,182 × 24,182
4. Step 4: Simplify right side
   17,638x = 584,769,124
5. Step 5: Solve for x
   x = 584,769,124/17,638
6. Step 6: Final answer
   x = 33,153.94