Finding the Third Proportional to 41,727 and 86,907

Step by Step Solution

1. Step 1: Write the proportion equation
   41,727 : 86,907 = 86,907 : x
2. Step 2: Convert to fraction form
   41,727/86,907 = 86,907/x
3. Step 3: Cross multiply
   41,727x = 86,907 × 86,907
4. Step 4: Simplify right side
   41,727x = 7,552,826,649
5. Step 5: Solve for x
   x = 7,552,826,649/41,727
6. Step 6: Final answer
   x = 181,005.74