Finding the Third Proportional to 19,496 and 41,744

Step by Step Solution

1. Step 1: Write the proportion equation
   19,496 : 41,744 = 41,744 : x
2. Step 2: Convert to fraction form
   19,496/41,744 = 41,744/x
3. Step 3: Cross multiply
   19,496x = 41,744 × 41,744
4. Step 4: Simplify right side
   19,496x = 1,742,561,536
5. Step 5: Solve for x
   x = 1,742,561,536/19,496
6. Step 6: Final answer
   x = 89,380.46