Finding the Third Proportional to 783.94 and 1,678.69

Step by Step Solution

1. Step 1: Write the proportion equation
   783.94 : 1,678.69 = 1,678.69 : x
2. Step 2: Convert to fraction form
   783.94/1,678.69 = 1,678.69/x
3. Step 3: Cross multiply
   783.94x = 1,678.69 × 1,678.69
4. Step 4: Simplify right side
   783.94x = 2,817,991.72
5. Step 5: Solve for x
   x = 2,817,991.72/783.94
6. Step 6: Final answer
   x = 3,594.66