Finding the Third Proportional to 41,675 and 89,371

Step by Step Solution

1. Step 1: Write the proportion equation
   41,675 : 89,371 = 89,371 : x
2. Step 2: Convert to fraction form
   41,675/89,371 = 89,371/x
3. Step 3: Cross multiply
   41,675x = 89,371 × 89,371
4. Step 4: Simplify right side
   41,675x = 7,987,175,641
5. Step 5: Solve for x
   x = 7,987,175,641/41,675
6. Step 6: Final answer
   x = 191,653.88