Finding the Third Proportional to 1,596.94 and 3,385.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,596.94 : 3,385.69 = 3,385.69 : x
2. Step 2: Convert to fraction form
   1,596.94/3,385.69 = 3,385.69/x
3. Step 3: Cross multiply
   1,596.94x = 3,385.69 × 3,385.69
4. Step 4: Simplify right side
   1,596.94x = 11,462,879.85
5. Step 5: Solve for x
   x = 11,462,879.85/1,596.94
6. Step 6: Final answer
   x = 7,178.04