Finding the Third Proportional to 32,816 and 67,568

Step by Step Solution

1. Step 1: Write the proportion equation
   32,816 : 67,568 = 67,568 : x
2. Step 2: Convert to fraction form
   32,816/67,568 = 67,568/x
3. Step 3: Cross multiply
   32,816x = 67,568 × 67,568
4. Step 4: Simplify right side
   32,816x = 4,565,434,624
5. Step 5: Solve for x
   x = 4,565,434,624/32,816
6. Step 6: Final answer
   x = 139,122.22