Finding the Third Proportional to 33,500 and 72,832

Step by Step Solution

1. Step 1: Write the proportion equation
   33,500 : 72,832 = 72,832 : x
2. Step 2: Convert to fraction form
   33,500/72,832 = 72,832/x
3. Step 3: Cross multiply
   33,500x = 72,832 × 72,832
4. Step 4: Simplify right side
   33,500x = 5,304,500,224
5. Step 5: Solve for x
   x = 5,304,500,224/33,500
6. Step 6: Final answer
   x = 158,343.29