Finding the Third Proportional to 2,687.69 and 5,701.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,687.69 : 5,701.69 = 5,701.69 : x
2. Step 2: Convert to fraction form
   2,687.69/5,701.69 = 5,701.69/x
3. Step 3: Cross multiply
   2,687.69x = 5,701.69 × 5,701.69
4. Step 4: Simplify right side
   2,687.69x = 32,509,240.35
5. Step 5: Solve for x
   x = 32,509,240.35/2,687.69
6. Step 6: Final answer
   x = 12,095.62