Finding the Third Proportional to 11,568 and 27,298

Step by Step Solution

1. Step 1: Write the proportion equation
   11,568 : 27,298 = 27,298 : x
2. Step 2: Convert to fraction form
   11,568/27,298 = 27,298/x
3. Step 3: Cross multiply
   11,568x = 27,298 × 27,298
4. Step 4: Simplify right side
   11,568x = 745,180,804
5. Step 5: Solve for x
   x = 745,180,804/11,568
6. Step 6: Final answer
   x = 64,417.43