Finding the Third Proportional to 1,649 and 3,866.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,649 : 3,866.50 = 3,866.50 : x
2. Step 2: Convert to fraction form
   1,649/3,866.50 = 3,866.50/x
3. Step 3: Cross multiply
   1,649x = 3,866.50 × 3,866.50
4. Step 4: Simplify right side
   1,649x = 14,949,822.25
5. Step 5: Solve for x
   x = 14,949,822.25/1,649
6. Step 6: Final answer
   x = 9,065.99