Finding the Third Proportional to 33,305 and 72,144

Step by Step Solution

1. Step 1: Write the proportion equation
   33,305 : 72,144 = 72,144 : x
2. Step 2: Convert to fraction form
   33,305/72,144 = 72,144/x
3. Step 3: Cross multiply
   33,305x = 72,144 × 72,144
4. Step 4: Simplify right side
   33,305x = 5,204,756,736
5. Step 5: Solve for x
   x = 5,204,756,736/33,305
6. Step 6: Final answer
   x = 156,275.54