Finding the Third Proportional to 2,007.56 and 3,225.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,007.56 : 3,225.38 = 3,225.38 : x
2. Step 2: Convert to fraction form
   2,007.56/3,225.38 = 3,225.38/x
3. Step 3: Cross multiply
   2,007.56x = 3,225.38 × 3,225.38
4. Step 4: Simplify right side
   2,007.56x = 10,403,043.89
5. Step 5: Solve for x
   x = 10,403,043.89/2,007.56
6. Step 6: Final answer
   x = 5,181.93