Finding the Third Proportional to 9,266 and 13,568

Step by Step Solution

1. Step 1: Write the proportion equation
   9,266 : 13,568 = 13,568 : x
2. Step 2: Convert to fraction form
   9,266/13,568 = 13,568/x
3. Step 3: Cross multiply
   9,266x = 13,568 × 13,568
4. Step 4: Simplify right side
   9,266x = 184,090,624
5. Step 5: Solve for x
   x = 184,090,624/9,266
6. Step 6: Final answer
   x = 19,867.32