Finding the Third Proportional to 35,098 and 71,834

Step by Step Solution

1. Step 1: Write the proportion equation
   35,098 : 71,834 = 71,834 : x
2. Step 2: Convert to fraction form
   35,098/71,834 = 71,834/x
3. Step 3: Cross multiply
   35,098x = 71,834 × 71,834
4. Step 4: Simplify right side
   35,098x = 5,160,123,556
5. Step 5: Solve for x
   x = 5,160,123,556/35,098
6. Step 6: Final answer
   x = 147,020.44