Finding the Third Proportional to 2,583 and 5,568.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,583 : 5,568.50 = 5,568.50 : x
2. Step 2: Convert to fraction form
   2,583/5,568.50 = 5,568.50/x
3. Step 3: Cross multiply
   2,583x = 5,568.50 × 5,568.50
4. Step 4: Simplify right side
   2,583x = 31,008,192.25
5. Step 5: Solve for x
   x = 31,008,192.25/2,583
6. Step 6: Final answer
   x = 12,004.72