Finding the Third Proportional to 33,638 and 67,270

Step by Step Solution

1. Step 1: Write the proportion equation
   33,638 : 67,270 = 67,270 : x
2. Step 2: Convert to fraction form
   33,638/67,270 = 67,270/x
3. Step 3: Cross multiply
   33,638x = 67,270 × 67,270
4. Step 4: Simplify right side
   33,638x = 4,525,252,900
5. Step 5: Solve for x
   x = 4,525,252,900/33,638
6. Step 6: Final answer
   x = 134,528.00