Finding the Third Proportional to 41,728 and 89,536

Step by Step Solution

1. Step 1: Write the proportion equation
   41,728 : 89,536 = 89,536 : x
2. Step 2: Convert to fraction form
   41,728/89,536 = 89,536/x
3. Step 3: Cross multiply
   41,728x = 89,536 × 89,536
4. Step 4: Simplify right side
   41,728x = 8,016,695,296
5. Step 5: Solve for x
   x = 8,016,695,296/41,728
6. Step 6: Final answer
   x = 192,117.89