Finding the Third Proportional to 41,569 and 89,794

Step by Step Solution

1. Step 1: Write the proportion equation
   41,569 : 89,794 = 89,794 : x
2. Step 2: Convert to fraction form
   41,569/89,794 = 89,794/x
3. Step 3: Cross multiply
   41,569x = 89,794 × 89,794
4. Step 4: Simplify right side
   41,569x = 8,062,962,436
5. Step 5: Solve for x
   x = 8,062,962,436/41,569
6. Step 6: Final answer
   x = 193,965.75