Finding the Third Proportional to 16,816 and 35,756

Step by Step Solution

1. Step 1: Write the proportion equation
   16,816 : 35,756 = 35,756 : x
2. Step 2: Convert to fraction form
   16,816/35,756 = 35,756/x
3. Step 3: Cross multiply
   16,816x = 35,756 × 35,756
4. Step 4: Simplify right side
   16,816x = 1,278,491,536
5. Step 5: Solve for x
   x = 1,278,491,536/16,816
6. Step 6: Final answer
   x = 76,028.28