Finding the Third Proportional to 1,580 and 2,223.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,580 : 2,223.50 = 2,223.50 : x
2. Step 2: Convert to fraction form
   1,580/2,223.50 = 2,223.50/x
3. Step 3: Cross multiply
   1,580x = 2,223.50 × 2,223.50
4. Step 4: Simplify right side
   1,580x = 4,943,952.25
5. Step 5: Solve for x
   x = 4,943,952.25/1,580
6. Step 6: Final answer
   x = 3,129.08