Finding the Third Proportional to 41,634 and 89,694

Step by Step Solution

1. Step 1: Write the proportion equation
   41,634 : 89,694 = 89,694 : x
2. Step 2: Convert to fraction form
   41,634/89,694 = 89,694/x
3. Step 3: Cross multiply
   41,634x = 89,694 × 89,694
4. Step 4: Simplify right side
   41,634x = 8,045,013,636
5. Step 5: Solve for x
   x = 8,045,013,636/41,634
6. Step 6: Final answer
   x = 193,231.82