Finding the Third Proportional to 33,089 and 72,009

Step by Step Solution

1. Step 1: Write the proportion equation
   33,089 : 72,009 = 72,009 : x
2. Step 2: Convert to fraction form
   33,089/72,009 = 72,009/x
3. Step 3: Cross multiply
   33,089x = 72,009 × 72,009
4. Step 4: Simplify right side
   33,089x = 5,185,296,081
5. Step 5: Solve for x
   x = 5,185,296,081/33,089
6. Step 6: Final answer
   x = 156,707.55