Finding the Third Proportional to 33,193 and 72,950

Step by Step Solution

1. Step 1: Write the proportion equation
   33,193 : 72,950 = 72,950 : x
2. Step 2: Convert to fraction form
   33,193/72,950 = 72,950/x
3. Step 3: Cross multiply
   33,193x = 72,950 × 72,950
4. Step 4: Simplify right side
   33,193x = 5,321,702,500
5. Step 5: Solve for x
   x = 5,321,702,500/33,193
6. Step 6: Final answer
   x = 160,326.05