Finding the Third Proportional to 2,288.25 and 3,339.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,288.25 : 3,339.56 = 3,339.56 : x
2. Step 2: Convert to fraction form
   2,288.25/3,339.56 = 3,339.56/x
3. Step 3: Cross multiply
   2,288.25x = 3,339.56 × 3,339.56
4. Step 4: Simplify right side
   2,288.25x = 11,152,677.69
5. Step 5: Solve for x
   x = 11,152,677.69/2,288.25
6. Step 6: Final answer
   x = 4,873.89