Finding the Third Proportional to 33,277 and 72,305

Step by Step Solution

1. Step 1: Write the proportion equation
   33,277 : 72,305 = 72,305 : x
2. Step 2: Convert to fraction form
   33,277/72,305 = 72,305/x
3. Step 3: Cross multiply
   33,277x = 72,305 × 72,305
4. Step 4: Simplify right side
   33,277x = 5,228,013,025
5. Step 5: Solve for x
   x = 5,228,013,025/33,277
6. Step 6: Final answer
   x = 157,105.90