Finding the Third Proportional to 41,511 and 89,634

Step by Step Solution

1. Step 1: Write the proportion equation
   41,511 : 89,634 = 89,634 : x
2. Step 2: Convert to fraction form
   41,511/89,634 = 89,634/x
3. Step 3: Cross multiply
   41,511x = 89,634 × 89,634
4. Step 4: Simplify right side
   41,511x = 8,034,253,956
5. Step 5: Solve for x
   x = 8,034,253,956/41,511
6. Step 6: Final answer
   x = 193,545.18