Finding the Third Proportional to 2,649.74 and 5,730.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,649.74 : 5,730.20 = 5,730.20 : x
2. Step 2: Convert to fraction form
   2,649.74/5,730.20 = 5,730.20/x
3. Step 3: Cross multiply
   2,649.74x = 5,730.20 × 5,730.20
4. Step 4: Simplify right side
   2,649.74x = 32,835,149.51
5. Step 5: Solve for x
   x = 32,835,149.51/2,649.74
6. Step 6: Final answer
   x = 12,391.82