Finding the Third Proportional to 41,042 and 89,896

Step by Step Solution

1. Step 1: Write the proportion equation
   41,042 : 89,896 = 89,896 : x
2. Step 2: Convert to fraction form
   41,042/89,896 = 89,896/x
3. Step 3: Cross multiply
   41,042x = 89,896 × 89,896
4. Step 4: Simplify right side
   41,042x = 8,081,290,816
5. Step 5: Solve for x
   x = 8,081,290,816/41,042
6. Step 6: Final answer
   x = 196,902.95