Finding the Third Proportional to 1,783.69 and 3,855.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,783.69 : 3,855.94 = 3,855.94 : x
2. Step 2: Convert to fraction form
   1,783.69/3,855.94 = 3,855.94/x
3. Step 3: Cross multiply
   1,783.69x = 3,855.94 × 3,855.94
4. Step 4: Simplify right side
   1,783.69x = 14,868,254.00
5. Step 5: Solve for x
   x = 14,868,254.00/1,783.69
6. Step 6: Final answer
   x = 8,335.68