Finding the Third Proportional to 31,728 and 41,724

Step by Step Solution

1. Step 1: Write the proportion equation
   31,728 : 41,724 = 41,724 : x
2. Step 2: Convert to fraction form
   31,728/41,724 = 41,724/x
3. Step 3: Cross multiply
   31,728x = 41,724 × 41,724
4. Step 4: Simplify right side
   31,728x = 1,740,892,176
5. Step 5: Solve for x
   x = 1,740,892,176/31,728
6. Step 6: Final answer
   x = 54,869.27