Finding the Third Proportional to 2,582.44 and 5,594.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582.44 : 5,594.06 = 5,594.06 : x
2. Step 2: Convert to fraction form
   2,582.44/5,594.06 = 5,594.06/x
3. Step 3: Cross multiply
   2,582.44x = 5,594.06 × 5,594.06
4. Step 4: Simplify right side
   2,582.44x = 31,293,535.25
5. Step 5: Solve for x
   x = 31,293,535.25/2,582.44
6. Step 6: Final answer
   x = 12,117.83