Finding the Third Proportional to 7,638.05 and 16,198.73

Step by Step Solution

1. Step 1: Write the proportion equation
   7,638.05 : 16,198.73 = 16,198.73 : x
2. Step 2: Convert to fraction form
   7,638.05/16,198.73 = 16,198.73/x
3. Step 3: Cross multiply
   7,638.05x = 16,198.73 × 16,198.73
4. Step 4: Simplify right side
   7,638.05x = 262,398,995.35
5. Step 5: Solve for x
   x = 262,398,995.35/7,638.05
6. Step 6: Final answer
   x = 34,354.20