Finding the Third Proportional to 4,649.91 and 7,029.28

Step by Step Solution

1. Step 1: Write the proportion equation
   4,649.91 : 7,029.28 = 7,029.28 : x
2. Step 2: Convert to fraction form
   4,649.91/7,029.28 = 7,029.28/x
3. Step 3: Cross multiply
   4,649.91x = 7,029.28 × 7,029.28
4. Step 4: Simplify right side
   4,649.91x = 49,410,794.89
5. Step 5: Solve for x
   x = 49,410,794.89/4,649.91
6. Step 6: Final answer
   x = 10,626.19