Finding the Third Proportional to 31,442 and 47,568

Step by Step Solution

1. Step 1: Write the proportion equation
   31,442 : 47,568 = 47,568 : x
2. Step 2: Convert to fraction form
   31,442/47,568 = 47,568/x
3. Step 3: Cross multiply
   31,442x = 47,568 × 47,568
4. Step 4: Simplify right side
   31,442x = 2,262,714,624
5. Step 5: Solve for x
   x = 2,262,714,624/31,442
6. Step 6: Final answer
   x = 71,964.72