Finding the Third Proportional to 33,322 and 71,234

Step by Step Solution

1. Step 1: Write the proportion equation
   33,322 : 71,234 = 71,234 : x
2. Step 2: Convert to fraction form
   33,322/71,234 = 71,234/x
3. Step 3: Cross multiply
   33,322x = 71,234 × 71,234
4. Step 4: Simplify right side
   33,322x = 5,074,282,756
5. Step 5: Solve for x
   x = 5,074,282,756/33,322
6. Step 6: Final answer
   x = 152,280.26