Finding the Third Proportional to 33,285 and 72,447.38

Step by Step Solution

1. Step 1: Write the proportion equation
   33,285 : 72,447.38 = 72,447.38 : x
2. Step 2: Convert to fraction form
   33,285/72,447.38 = 72,447.38/x
3. Step 3: Cross multiply
   33,285x = 72,447.38 × 72,447.38
4. Step 4: Simplify right side
   33,285x = 5,248,622,144.39
5. Step 5: Solve for x
   x = 5,248,622,144.39/33,285
6. Step 6: Final answer
   x = 157,687.31