Finding the Third Proportional to 3,647.53 and 7,029.28

Step by Step Solution

1. Step 1: Write the proportion equation
   3,647.53 : 7,029.28 = 7,029.28 : x
2. Step 2: Convert to fraction form
   3,647.53/7,029.28 = 7,029.28/x
3. Step 3: Cross multiply
   3,647.53x = 7,029.28 × 7,029.28
4. Step 4: Simplify right side
   3,647.53x = 49,410,794.89
5. Step 5: Solve for x
   x = 49,410,794.89/3,647.53
6. Step 6: Final answer
   x = 13,546.37