Finding the Third Proportional to 2,295.84 and 3,582.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,295.84 : 3,582.56 = 3,582.56 : x
2. Step 2: Convert to fraction form
   2,295.84/3,582.56 = 3,582.56/x
3. Step 3: Cross multiply
   2,295.84x = 3,582.56 × 3,582.56
4. Step 4: Simplify right side
   2,295.84x = 12,834,754.07
5. Step 5: Solve for x
   x = 12,834,754.07/2,295.84
6. Step 6: Final answer
   x = 5,590.43