Finding the Third Proportional to 33,471 and 72,048

Step by Step Solution

1. Step 1: Write the proportion equation
   33,471 : 72,048 = 72,048 : x
2. Step 2: Convert to fraction form
   33,471/72,048 = 72,048/x
3. Step 3: Cross multiply
   33,471x = 72,048 × 72,048
4. Step 4: Simplify right side
   33,471x = 5,190,914,304
5. Step 5: Solve for x
   x = 5,190,914,304/33,471
6. Step 6: Final answer
   x = 155,086.92