Finding the Third Proportional to 33,628 and 52,638

Step by Step Solution

1. Step 1: Write the proportion equation
   33,628 : 52,638 = 52,638 : x
2. Step 2: Convert to fraction form
   33,628/52,638 = 52,638/x
3. Step 3: Cross multiply
   33,628x = 52,638 × 52,638
4. Step 4: Simplify right side
   33,628x = 2,770,759,044
5. Step 5: Solve for x
   x = 2,770,759,044/33,628
6. Step 6: Final answer
   x = 82,394.40