Finding the Third Proportional to 35,167 and 71,638

Step by Step Solution

1. Step 1: Write the proportion equation
   35,167 : 71,638 = 71,638 : x
2. Step 2: Convert to fraction form
   35,167/71,638 = 71,638/x
3. Step 3: Cross multiply
   35,167x = 71,638 × 71,638
4. Step 4: Simplify right side
   35,167x = 5,132,003,044
5. Step 5: Solve for x
   x = 5,132,003,044/35,167
6. Step 6: Final answer
   x = 145,932.35