Finding the Third Proportional to 33,542 and 72,228

Step by Step Solution

1. Step 1: Write the proportion equation
   33,542 : 72,228 = 72,228 : x
2. Step 2: Convert to fraction form
   33,542/72,228 = 72,228/x
3. Step 3: Cross multiply
   33,542x = 72,228 × 72,228
4. Step 4: Simplify right side
   33,542x = 5,216,883,984
5. Step 5: Solve for x
   x = 5,216,883,984/33,542
6. Step 6: Final answer
   x = 155,532.88