Finding the Third Proportional to 2,649 and 3,877.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,649 : 3,877.50 = 3,877.50 : x
2. Step 2: Convert to fraction form
   2,649/3,877.50 = 3,877.50/x
3. Step 3: Cross multiply
   2,649x = 3,877.50 × 3,877.50
4. Step 4: Simplify right side
   2,649x = 15,035,006.25
5. Step 5: Solve for x
   x = 15,035,006.25/2,649
6. Step 6: Final answer
   x = 5,675.73