Finding the Third Proportional to 1,520.50 and 3,580

Step by Step Solution

1. Step 1: Write the proportion equation
   1,520.50 : 3,580 = 3,580 : x
2. Step 2: Convert to fraction form
   1,520.50/3,580 = 3,580/x
3. Step 3: Cross multiply
   1,520.50x = 3,580 × 3,580
4. Step 4: Simplify right side
   1,520.50x = 12,816,400
5. Step 5: Solve for x
   x = 12,816,400/1,520.50
6. Step 6: Final answer
   x = 8,429.07