Finding the Third Proportional to 5,772 and 12,583.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,772 : 12,583.50 = 12,583.50 : x
2. Step 2: Convert to fraction form
   5,772/12,583.50 = 12,583.50/x
3. Step 3: Cross multiply
   5,772x = 12,583.50 × 12,583.50
4. Step 4: Simplify right side
   5,772x = 158,344,472.25
5. Step 5: Solve for x
   x = 158,344,472.25/5,772
6. Step 6: Final answer
   x = 27,433.21