Finding the Third Proportional to 19,296 and 41,568

Step by Step Solution

1. Step 1: Write the proportion equation
   19,296 : 41,568 = 41,568 : x
2. Step 2: Convert to fraction form
   19,296/41,568 = 41,568/x
3. Step 3: Cross multiply
   19,296x = 41,568 × 41,568
4. Step 4: Simplify right side
   19,296x = 1,727,898,624
5. Step 5: Solve for x
   x = 1,727,898,624/19,296
6. Step 6: Final answer
   x = 89,546.99