Finding the Third Proportional to 37,856 and 80,568

Step by Step Solution

1. Step 1: Write the proportion equation
   37,856 : 80,568 = 80,568 : x
2. Step 2: Convert to fraction form
   37,856/80,568 = 80,568/x
3. Step 3: Cross multiply
   37,856x = 80,568 × 80,568
4. Step 4: Simplify right side
   37,856x = 6,491,202,624
5. Step 5: Solve for x
   x = 6,491,202,624/37,856
6. Step 6: Final answer
   x = 171,470.91