Finding the Third Proportional to 41,748 and 89,568

Step by Step Solution

1. Step 1: Write the proportion equation
   41,748 : 89,568 = 89,568 : x
2. Step 2: Convert to fraction form
   41,748/89,568 = 89,568/x
3. Step 3: Cross multiply
   41,748x = 89,568 × 89,568
4. Step 4: Simplify right side
   41,748x = 8,022,426,624
5. Step 5: Solve for x
   x = 8,022,426,624/41,748
6. Step 6: Final answer
   x = 192,163.14