Finding the Third Proportional to 2,583.14 and 5,627.39

Step by Step Solution

1. Step 1: Write the proportion equation
   2,583.14 : 5,627.39 = 5,627.39 : x
2. Step 2: Convert to fraction form
   2,583.14/5,627.39 = 5,627.39/x
3. Step 3: Cross multiply
   2,583.14x = 5,627.39 × 5,627.39
4. Step 4: Simplify right side
   2,583.14x = 31,667,525.25
5. Step 5: Solve for x
   x = 31,667,525.25/2,583.14
6. Step 6: Final answer
   x = 12,259.31