Finding the Third Proportional to 47,734 and 71,568

Step by Step Solution

1. Step 1: Write the proportion equation
   47,734 : 71,568 = 71,568 : x
2. Step 2: Convert to fraction form
   47,734/71,568 = 71,568/x
3. Step 3: Cross multiply
   47,734x = 71,568 × 71,568
4. Step 4: Simplify right side
   47,734x = 5,121,978,624
5. Step 5: Solve for x
   x = 5,121,978,624/47,734
6. Step 6: Final answer
   x = 107,302.52