Finding the Third Proportional to 47,502 and 71,568

Step by Step Solution

1. Step 1: Write the proportion equation
   47,502 : 71,568 = 71,568 : x
2. Step 2: Convert to fraction form
   47,502/71,568 = 71,568/x
3. Step 3: Cross multiply
   47,502x = 71,568 × 71,568
4. Step 4: Simplify right side
   47,502x = 5,121,978,624
5. Step 5: Solve for x
   x = 5,121,978,624/47,502
6. Step 6: Final answer
   x = 107,826.59