Finding the Third Proportional to 17,638 and 40,874

Step by Step Solution

1. Step 1: Write the proportion equation
   17,638 : 40,874 = 40,874 : x
2. Step 2: Convert to fraction form
   17,638/40,874 = 40,874/x
3. Step 3: Cross multiply
   17,638x = 40,874 × 40,874
4. Step 4: Simplify right side
   17,638x = 1,670,683,876
5. Step 5: Solve for x
   x = 1,670,683,876/17,638
6. Step 6: Final answer
   x = 94,720.71