Finding the Third Proportional to 33,452 and 51,826

Step by Step Solution

1. Step 1: Write the proportion equation
   33,452 : 51,826 = 51,826 : x
2. Step 2: Convert to fraction form
   33,452/51,826 = 51,826/x
3. Step 3: Cross multiply
   33,452x = 51,826 × 51,826
4. Step 4: Simplify right side
   33,452x = 2,685,934,276
5. Step 5: Solve for x
   x = 2,685,934,276/33,452
6. Step 6: Final answer
   x = 80,292.19