Finding the Third Proportional to 5,856 and 13,568

Step by Step Solution

1. Step 1: Write the proportion equation
   5,856 : 13,568 = 13,568 : x
2. Step 2: Convert to fraction form
   5,856/13,568 = 13,568/x
3. Step 3: Cross multiply
   5,856x = 13,568 × 13,568
4. Step 4: Simplify right side
   5,856x = 184,090,624
5. Step 5: Solve for x
   x = 184,090,624/5,856
6. Step 6: Final answer
   x = 31,436.24