Finding the Third Proportional to 1,767.94 and 3,794.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,767.94 : 3,794.06 = 3,794.06 : x
2. Step 2: Convert to fraction form
   1,767.94/3,794.06 = 3,794.06/x
3. Step 3: Cross multiply
   1,767.94x = 3,794.06 × 3,794.06
4. Step 4: Simplify right side
   1,767.94x = 14,394,910.25
5. Step 5: Solve for x
   x = 14,394,910.25/1,767.94
6. Step 6: Final answer
   x = 8,142.21