Finding the Third Proportional to 34,491 and 71,193

Step by Step Solution

1. Step 1: Write the proportion equation
   34,491 : 71,193 = 71,193 : x
2. Step 2: Convert to fraction form
   34,491/71,193 = 71,193/x
3. Step 3: Cross multiply
   34,491x = 71,193 × 71,193
4. Step 4: Simplify right side
   34,491x = 5,068,443,249
5. Step 5: Solve for x
   x = 5,068,443,249/34,491
6. Step 6: Final answer
   x = 146,949.73