Finding the Third Proportional to 1,786.82 and 3,849.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,786.82 : 3,849.94 = 3,849.94 : x
2. Step 2: Convert to fraction form
   1,786.82/3,849.94 = 3,849.94/x
3. Step 3: Cross multiply
   1,786.82x = 3,849.94 × 3,849.94
4. Step 4: Simplify right side
   1,786.82x = 14,822,055.41
5. Step 5: Solve for x
   x = 14,822,055.41/1,786.82
6. Step 6: Final answer
   x = 8,295.24