Finding the Third Proportional to 33,318 and 71,226

Step by Step Solution

1. Step 1: Write the proportion equation
   33,318 : 71,226 = 71,226 : x
2. Step 2: Convert to fraction form
   33,318/71,226 = 71,226/x
3. Step 3: Cross multiply
   33,318x = 71,226 × 71,226
4. Step 4: Simplify right side
   33,318x = 5,073,143,076
5. Step 5: Solve for x
   x = 5,073,143,076/33,318
6. Step 6: Final answer
   x = 152,264.33