Finding the Third Proportional to 35,568 and 77,216

Step by Step Solution

1. Step 1: Write the proportion equation
   35,568 : 77,216 = 77,216 : x
2. Step 2: Convert to fraction form
   35,568/77,216 = 77,216/x
3. Step 3: Cross multiply
   35,568x = 77,216 × 77,216
4. Step 4: Simplify right side
   35,568x = 5,962,310,656
5. Step 5: Solve for x
   x = 5,962,310,656/35,568
6. Step 6: Final answer
   x = 167,631.32