Finding the Third Proportional to 33,156 and 71,220

Step by Step Solution

1. Step 1: Write the proportion equation
   33,156 : 71,220 = 71,220 : x
2. Step 2: Convert to fraction form
   33,156/71,220 = 71,220/x
3. Step 3: Cross multiply
   33,156x = 71,220 × 71,220
4. Step 4: Simplify right side
   33,156x = 5,072,288,400
5. Step 5: Solve for x
   x = 5,072,288,400/33,156
6. Step 6: Final answer
   x = 152,982.52