Finding the Third Proportional to 2,560 and 3,654.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,560 : 3,654.50 = 3,654.50 : x
2. Step 2: Convert to fraction form
   2,560/3,654.50 = 3,654.50/x
3. Step 3: Cross multiply
   2,560x = 3,654.50 × 3,654.50
4. Step 4: Simplify right side
   2,560x = 13,355,370.25
5. Step 5: Solve for x
   x = 13,355,370.25/2,560
6. Step 6: Final answer
   x = 5,216.94