Finding the Third Proportional to 41,721 and 86,895

Step by Step Solution

1. Step 1: Write the proportion equation
   41,721 : 86,895 = 86,895 : x
2. Step 2: Convert to fraction form
   41,721/86,895 = 86,895/x
3. Step 3: Cross multiply
   41,721x = 86,895 × 86,895
4. Step 4: Simplify right side
   41,721x = 7,550,741,025
5. Step 5: Solve for x
   x = 7,550,741,025/41,721
6. Step 6: Final answer
   x = 180,981.78