Finding the Third Proportional to 27,876 and 59,568

Step by Step Solution

1. Step 1: Write the proportion equation
   27,876 : 59,568 = 59,568 : x
2. Step 2: Convert to fraction form
   27,876/59,568 = 59,568/x
3. Step 3: Cross multiply
   27,876x = 59,568 × 59,568
4. Step 4: Simplify right side
   27,876x = 3,548,346,624
5. Step 5: Solve for x
   x = 3,548,346,624/27,876
6. Step 6: Final answer
   x = 127,290.38