Finding the Third Proportional to 33,668 and 52,816

Step by Step Solution

1. Step 1: Write the proportion equation
   33,668 : 52,816 = 52,816 : x
2. Step 2: Convert to fraction form
   33,668/52,816 = 52,816/x
3. Step 3: Cross multiply
   33,668x = 52,816 × 52,816
4. Step 4: Simplify right side
   33,668x = 2,789,529,856
5. Step 5: Solve for x
   x = 2,789,529,856/33,668
6. Step 6: Final answer
   x = 82,854.04