Finding the Third Proportional to 3,643.50 and 5,451.38

Step by Step Solution

1. Step 1: Write the proportion equation
   3,643.50 : 5,451.38 = 5,451.38 : x
2. Step 2: Convert to fraction form
   3,643.50/5,451.38 = 5,451.38/x
3. Step 3: Cross multiply
   3,643.50x = 5,451.38 × 5,451.38
4. Step 4: Simplify right side
   3,643.50x = 29,717,489.39
5. Step 5: Solve for x
   x = 29,717,489.39/3,643.50
6. Step 6: Final answer
   x = 8,156.30