Finding the Third Proportional to 33,704 and 72,496

Step by Step Solution

1. Step 1: Write the proportion equation
   33,704 : 72,496 = 72,496 : x
2. Step 2: Convert to fraction form
   33,704/72,496 = 72,496/x
3. Step 3: Cross multiply
   33,704x = 72,496 × 72,496
4. Step 4: Simplify right side
   33,704x = 5,255,670,016
5. Step 5: Solve for x
   x = 5,255,670,016/33,704
6. Step 6: Final answer
   x = 155,936.09