Finding the Third Proportional to 36,568 and 55,302

Step by Step Solution

1. Step 1: Write the proportion equation
   36,568 : 55,302 = 55,302 : x
2. Step 2: Convert to fraction form
   36,568/55,302 = 55,302/x
3. Step 3: Cross multiply
   36,568x = 55,302 × 55,302
4. Step 4: Simplify right side
   36,568x = 3,058,311,204
5. Step 5: Solve for x
   x = 3,058,311,204/36,568
6. Step 6: Final answer
   x = 83,633.54