Finding the Third Proportional to 16,568 and 35,777

Step by Step Solution

1. Step 1: Write the proportion equation
   16,568 : 35,777 = 35,777 : x
2. Step 2: Convert to fraction form
   16,568/35,777 = 35,777/x
3. Step 3: Cross multiply
   16,568x = 35,777 × 35,777
4. Step 4: Simplify right side
   16,568x = 1,279,993,729
5. Step 5: Solve for x
   x = 1,279,993,729/16,568
6. Step 6: Final answer
   x = 77,256.99