Finding the Third Proportional to 33,832 and 72,358

Step by Step Solution

1. Step 1: Write the proportion equation
   33,832 : 72,358 = 72,358 : x
2. Step 2: Convert to fraction form
   33,832/72,358 = 72,358/x
3. Step 3: Cross multiply
   33,832x = 72,358 × 72,358
4. Step 4: Simplify right side
   33,832x = 5,235,680,164
5. Step 5: Solve for x
   x = 5,235,680,164/33,832
6. Step 6: Final answer
   x = 154,755.27