Finding the Third Proportional to 33,882 and 52,578

Step by Step Solution

1. Step 1: Write the proportion equation
   33,882 : 52,578 = 52,578 : x
2. Step 2: Convert to fraction form
   33,882/52,578 = 52,578/x
3. Step 3: Cross multiply
   33,882x = 52,578 × 52,578
4. Step 4: Simplify right side
   33,882x = 2,764,446,084
5. Step 5: Solve for x
   x = 2,764,446,084/33,882
6. Step 6: Final answer
   x = 81,590.40