Finding the Third Proportional to 2,083.78 and 3,225.66

Step by Step Solution

1. Step 1: Write the proportion equation
   2,083.78 : 3,225.66 = 3,225.66 : x
2. Step 2: Convert to fraction form
   2,083.78/3,225.66 = 3,225.66/x
3. Step 3: Cross multiply
   2,083.78x = 3,225.66 × 3,225.66
4. Step 4: Simplify right side
   2,083.78x = 10,404,858.24
5. Step 5: Solve for x
   x = 10,404,858.24/2,083.78
6. Step 6: Final answer
   x = 4,993.26