Finding the Third Proportional to 33,769 and 70,638

Step by Step Solution

1. Step 1: Write the proportion equation
   33,769 : 70,638 = 70,638 : x
2. Step 2: Convert to fraction form
   33,769/70,638 = 70,638/x
3. Step 3: Cross multiply
   33,769x = 70,638 × 70,638
4. Step 4: Simplify right side
   33,769x = 4,989,727,044
5. Step 5: Solve for x
   x = 4,989,727,044/33,769
6. Step 6: Final answer
   x = 147,760.58