Finding the Third Proportional to 19,406 and 41,780

Step by Step Solution

1. Step 1: Write the proportion equation
   19,406 : 41,780 = 41,780 : x
2. Step 2: Convert to fraction form
   19,406/41,780 = 41,780/x
3. Step 3: Cross multiply
   19,406x = 41,780 × 41,780
4. Step 4: Simplify right side
   19,406x = 1,745,568,400
5. Step 5: Solve for x
   x = 1,745,568,400/19,406
6. Step 6: Final answer
   x = 89,949.93