Finding the Third Proportional to 33,588 and 73,872

Step by Step Solution

1. Step 1: Write the proportion equation
   33,588 : 73,872 = 73,872 : x
2. Step 2: Convert to fraction form
   33,588/73,872 = 73,872/x
3. Step 3: Cross multiply
   33,588x = 73,872 × 73,872
4. Step 4: Simplify right side
   33,588x = 5,457,072,384
5. Step 5: Solve for x
   x = 5,457,072,384/33,588
6. Step 6: Final answer
   x = 162,470.89