Finding the Third Proportional to 33,006 and 72,033

Step by Step Solution

1. Step 1: Write the proportion equation
   33,006 : 72,033 = 72,033 : x
2. Step 2: Convert to fraction form
   33,006/72,033 = 72,033/x
3. Step 3: Cross multiply
   33,006x = 72,033 × 72,033
4. Step 4: Simplify right side
   33,006x = 5,188,753,089
5. Step 5: Solve for x
   x = 5,188,753,089/33,006
6. Step 6: Final answer
   x = 157,206.36