Finding the Third Proportional to 41,724 and 86,898

Step by Step Solution

1. Step 1: Write the proportion equation
   41,724 : 86,898 = 86,898 : x
2. Step 2: Convert to fraction form
   41,724/86,898 = 86,898/x
3. Step 3: Cross multiply
   41,724x = 86,898 × 86,898
4. Step 4: Simplify right side
   41,724x = 7,551,262,404
5. Step 5: Solve for x
   x = 7,551,262,404/41,724
6. Step 6: Final answer
   x = 180,981.27