Finding the Third Proportional to 33,727 and 72,374

Step by Step Solution

1. Step 1: Write the proportion equation
   33,727 : 72,374 = 72,374 : x
2. Step 2: Convert to fraction form
   33,727/72,374 = 72,374/x
3. Step 3: Cross multiply
   33,727x = 72,374 × 72,374
4. Step 4: Simplify right side
   33,727x = 5,237,995,876
5. Step 5: Solve for x
   x = 5,237,995,876/33,727
6. Step 6: Final answer
   x = 155,305.72