Finding the Third Proportional to 33,038 and 73,638

Step by Step Solution

1. Step 1: Write the proportion equation
   33,038 : 73,638 = 73,638 : x
2. Step 2: Convert to fraction form
   33,038/73,638 = 73,638/x
3. Step 3: Cross multiply
   33,038x = 73,638 × 73,638
4. Step 4: Simplify right side
   33,038x = 5,422,555,044
5. Step 5: Solve for x
   x = 5,422,555,044/33,038
6. Step 6: Final answer
   x = 164,130.85