Finding the Third Proportional to 793.69 and 1,684.69

Step by Step Solution

1. Step 1: Write the proportion equation
   793.69 : 1,684.69 = 1,684.69 : x
2. Step 2: Convert to fraction form
   793.69/1,684.69 = 1,684.69/x
3. Step 3: Cross multiply
   793.69x = 1,684.69 × 1,684.69
4. Step 4: Simplify right side
   793.69x = 2,838,171.97
5. Step 5: Solve for x
   x = 2,838,171.97/793.69
6. Step 6: Final answer
   x = 3,575.93