Finding the Third Proportional to 6,404 and 13,568

Step by Step Solution

1. Step 1: Write the proportion equation
   6,404 : 13,568 = 13,568 : x
2. Step 2: Convert to fraction form
   6,404/13,568 = 13,568/x
3. Step 3: Cross multiply
   6,404x = 13,568 × 13,568
4. Step 4: Simplify right side
   6,404x = 184,090,624
5. Step 5: Solve for x
   x = 184,090,624/6,404
6. Step 6: Final answer
   x = 28,746.19