Finding the Third Proportional to 41,026 and 89,644

Step by Step Solution

1. Step 1: Write the proportion equation
   41,026 : 89,644 = 89,644 : x
2. Step 2: Convert to fraction form
   41,026/89,644 = 89,644/x
3. Step 3: Cross multiply
   41,026x = 89,644 × 89,644
4. Step 4: Simplify right side
   41,026x = 8,036,046,736
5. Step 5: Solve for x
   x = 8,036,046,736/41,026
6. Step 6: Final answer
   x = 195,876.93