Finding the Third Proportional to 581 and 1,443.50

Step by Step Solution

1. Step 1: Write the proportion equation
   581 : 1,443.50 = 1,443.50 : x
2. Step 2: Convert to fraction form
   581/1,443.50 = 1,443.50/x
3. Step 3: Cross multiply
   581x = 1,443.50 × 1,443.50
4. Step 4: Simplify right side
   581x = 2,083,692.25
5. Step 5: Solve for x
   x = 2,083,692.25/581
6. Step 6: Final answer
   x = 3,586.39