Finding the Third Proportional to 3,647.53 and 5,355.28

Step by Step Solution

1. Step 1: Write the proportion equation
   3,647.53 : 5,355.28 = 5,355.28 : x
2. Step 2: Convert to fraction form
   3,647.53/5,355.28 = 5,355.28/x
3. Step 3: Cross multiply
   3,647.53x = 5,355.28 × 5,355.28
4. Step 4: Simplify right side
   3,647.53x = 28,679,037.27
5. Step 5: Solve for x
   x = 28,679,037.27/3,647.53
6. Step 6: Final answer
   x = 7,862.59