Finding the Third Proportional to 2,561 and 4,076.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,561 : 4,076.50 = 4,076.50 : x
2. Step 2: Convert to fraction form
   2,561/4,076.50 = 4,076.50/x
3. Step 3: Cross multiply
   2,561x = 4,076.50 × 4,076.50
4. Step 4: Simplify right side
   2,561x = 16,617,852.25
5. Step 5: Solve for x
   x = 16,617,852.25/2,561
6. Step 6: Final answer
   x = 6,488.81