Finding the Third Proportional to 2,086.25 and 3,229.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,086.25 : 3,229.25 = 3,229.25 : x
2. Step 2: Convert to fraction form
   2,086.25/3,229.25 = 3,229.25/x
3. Step 3: Cross multiply
   2,086.25x = 3,229.25 × 3,229.25
4. Step 4: Simplify right side
   2,086.25x = 10,428,055.56
5. Step 5: Solve for x
   x = 10,428,055.56/2,086.25
6. Step 6: Final answer
   x = 4,998.47