Finding the Third Proportional to 39,766 and 59,568

Step by Step Solution

1. Step 1: Write the proportion equation
   39,766 : 59,568 = 59,568 : x
2. Step 2: Convert to fraction form
   39,766/59,568 = 59,568/x
3. Step 3: Cross multiply
   39,766x = 59,568 × 59,568
4. Step 4: Simplify right side
   39,766x = 3,548,346,624
5. Step 5: Solve for x
   x = 3,548,346,624/39,766
6. Step 6: Final answer
   x = 89,230.66