Finding the Third Proportional to 33,502 and 72,836

Step by Step Solution

1. Step 1: Write the proportion equation
   33,502 : 72,836 = 72,836 : x
2. Step 2: Convert to fraction form
   33,502/72,836 = 72,836/x
3. Step 3: Cross multiply
   33,502x = 72,836 × 72,836
4. Step 4: Simplify right side
   33,502x = 5,305,082,896
5. Step 5: Solve for x
   x = 5,305,082,896/33,502
6. Step 6: Final answer
   x = 158,351.23