Finding the Third Proportional to 4,049 and 5,733.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,049 : 5,733.50 = 5,733.50 : x
2. Step 2: Convert to fraction form
   4,049/5,733.50 = 5,733.50/x
3. Step 3: Cross multiply
   4,049x = 5,733.50 × 5,733.50
4. Step 4: Simplify right side
   4,049x = 32,873,022.25
5. Step 5: Solve for x
   x = 32,873,022.25/4,049
6. Step 6: Final answer
   x = 8,118.80