Finding the Third Proportional to 2,560.50 and 6,185.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,560.50 : 6,185.25 = 6,185.25 : x
2. Step 2: Convert to fraction form
   2,560.50/6,185.25 = 6,185.25/x
3. Step 3: Cross multiply
   2,560.50x = 6,185.25 × 6,185.25
4. Step 4: Simplify right side
   2,560.50x = 38,257,317.56
5. Step 5: Solve for x
   x = 38,257,317.56/2,560.50
6. Step 6: Final answer
   x = 14,941.35