Finding the Third Proportional to 2,767 and 3,510.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,767 : 3,510.50 = 3,510.50 : x
2. Step 2: Convert to fraction form
   2,767/3,510.50 = 3,510.50/x
3. Step 3: Cross multiply
   2,767x = 3,510.50 × 3,510.50
4. Step 4: Simplify right side
   2,767x = 12,323,610.25
5. Step 5: Solve for x
   x = 12,323,610.25/2,767
6. Step 6: Final answer
   x = 4,453.78