Finding the Third Proportional to 8,091 and 12,568

Step by Step Solution

1. Step 1: Write the proportion equation
   8,091 : 12,568 = 12,568 : x
2. Step 2: Convert to fraction form
   8,091/12,568 = 12,568/x
3. Step 3: Cross multiply
   8,091x = 12,568 × 12,568
4. Step 4: Simplify right side
   8,091x = 157,954,624
5. Step 5: Solve for x
   x = 157,954,624/8,091
6. Step 6: Final answer
   x = 19,522.26