Finding the Third Proportional to 2,560.50 and 3,875

Step by Step Solution

1. Step 1: Write the proportion equation
   2,560.50 : 3,875 = 3,875 : x
2. Step 2: Convert to fraction form
   2,560.50/3,875 = 3,875/x
3. Step 3: Cross multiply
   2,560.50x = 3,875 × 3,875
4. Step 4: Simplify right side
   2,560.50x = 15,015,625
5. Step 5: Solve for x
   x = 15,015,625/2,560.50
6. Step 6: Final answer
   x = 5,864.33