Finding the Third Proportional to 33,642 and 72,420

Step by Step Solution

1. Step 1: Write the proportion equation
   33,642 : 72,420 = 72,420 : x
2. Step 2: Convert to fraction form
   33,642/72,420 = 72,420/x
3. Step 3: Cross multiply
   33,642x = 72,420 × 72,420
4. Step 4: Simplify right side
   33,642x = 5,244,656,400
5. Step 5: Solve for x
   x = 5,244,656,400/33,642
6. Step 6: Final answer
   x = 155,896.09