Finding the Third Proportional to 33,831 and 72,846

Step by Step Solution

1. Step 1: Write the proportion equation
   33,831 : 72,846 = 72,846 : x
2. Step 2: Convert to fraction form
   33,831/72,846 = 72,846/x
3. Step 3: Cross multiply
   33,831x = 72,846 × 72,846
4. Step 4: Simplify right side
   33,831x = 5,306,539,716
5. Step 5: Solve for x
   x = 5,306,539,716/33,831
6. Step 6: Final answer
   x = 156,854.36