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

Step by Step Solution

1. Step 1: Write the proportion equation
   19,568 : 41,296 = 41,296 : x
2. Step 2: Convert to fraction form
   19,568/41,296 = 41,296/x
3. Step 3: Cross multiply
   19,568x = 41,296 × 41,296
4. Step 4: Simplify right side
   19,568x = 1,705,359,616
5. Step 5: Solve for x
   x = 1,705,359,616/19,568
6. Step 6: Final answer
   x = 87,150.43