Finding the Third Proportional to 2,587 and 3,560.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,587 : 3,560.50 = 3,560.50 : x
2. Step 2: Convert to fraction form
   2,587/3,560.50 = 3,560.50/x
3. Step 3: Cross multiply
   2,587x = 3,560.50 × 3,560.50
4. Step 4: Simplify right side
   2,587x = 12,677,160.25
5. Step 5: Solve for x
   x = 12,677,160.25/2,587
6. Step 6: Final answer
   x = 4,900.33