Finding the Third Proportional to 41,442 and 86,724

Step by Step Solution

1. Step 1: Write the proportion equation
   41,442 : 86,724 = 86,724 : x
2. Step 2: Convert to fraction form
   41,442/86,724 = 86,724/x
3. Step 3: Cross multiply
   41,442x = 86,724 × 86,724
4. Step 4: Simplify right side
   41,442x = 7,521,052,176
5. Step 5: Solve for x
   x = 7,521,052,176/41,442
6. Step 6: Final answer
   x = 181,483.81