Finding the Third Proportional to 2,582.50 and 5,529.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582.50 : 5,529.50 = 5,529.50 : x
2. Step 2: Convert to fraction form
   2,582.50/5,529.50 = 5,529.50/x
3. Step 3: Cross multiply
   2,582.50x = 5,529.50 × 5,529.50
4. Step 4: Simplify right side
   2,582.50x = 30,575,370.25
5. Step 5: Solve for x
   x = 30,575,370.25/2,582.50
6. Step 6: Final answer
   x = 11,839.45