Finding the Third Proportional to 34,857 and 71,568

Step by Step Solution

1. Step 1: Write the proportion equation
   34,857 : 71,568 = 71,568 : x
2. Step 2: Convert to fraction form
   34,857/71,568 = 71,568/x
3. Step 3: Cross multiply
   34,857x = 71,568 × 71,568
4. Step 4: Simplify right side
   34,857x = 5,121,978,624
5. Step 5: Solve for x
   x = 5,121,978,624/34,857
6. Step 6: Final answer
   x = 146,942.61