Finding the Third Proportional to 33,269 and 71,150

Step by Step Solution

1. Step 1: Write the proportion equation
   33,269 : 71,150 = 71,150 : x
2. Step 2: Convert to fraction form
   33,269/71,150 = 71,150/x
3. Step 3: Cross multiply
   33,269x = 71,150 × 71,150
4. Step 4: Simplify right side
   33,269x = 5,062,322,500
5. Step 5: Solve for x
   x = 5,062,322,500/33,269
6. Step 6: Final answer
   x = 152,163.35