Finding the Third Proportional to 37,920 and 59,568

Step by Step Solution

1. Step 1: Write the proportion equation
   37,920 : 59,568 = 59,568 : x
2. Step 2: Convert to fraction form
   37,920/59,568 = 59,568/x
3. Step 3: Cross multiply
   37,920x = 59,568 × 59,568
4. Step 4: Simplify right side
   37,920x = 3,548,346,624
5. Step 5: Solve for x
   x = 3,548,346,624/37,920
6. Step 6: Final answer
   x = 93,574.54