Finding the Third Proportional to 31,772 and 41,780

Step by Step Solution

1. Step 1: Write the proportion equation
   31,772 : 41,780 = 41,780 : x
2. Step 2: Convert to fraction form
   31,772/41,780 = 41,780/x
3. Step 3: Cross multiply
   31,772x = 41,780 × 41,780
4. Step 4: Simplify right side
   31,772x = 1,745,568,400
5. Step 5: Solve for x
   x = 1,745,568,400/31,772
6. Step 6: Final answer
   x = 54,940.46