Finding the Third Proportional to 3,647.25 and 5,632.31

Step by Step Solution

1. Step 1: Write the proportion equation
   3,647.25 : 5,632.31 = 5,632.31 : x
2. Step 2: Convert to fraction form
   3,647.25/5,632.31 = 5,632.31/x
3. Step 3: Cross multiply
   3,647.25x = 5,632.31 × 5,632.31
4. Step 4: Simplify right side
   3,647.25x = 31,722,944.10
5. Step 5: Solve for x
   x = 31,722,944.10/3,647.25
6. Step 6: Final answer
   x = 8,697.77