Finding the Third Proportional to 2,686.50 and 5,833.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,686.50 : 5,833.69 = 5,833.69 : x
2. Step 2: Convert to fraction form
   2,686.50/5,833.69 = 5,833.69/x
3. Step 3: Cross multiply
   2,686.50x = 5,833.69 × 5,833.69
4. Step 4: Simplify right side
   2,686.50x = 34,031,909.85
5. Step 5: Solve for x
   x = 34,031,909.85/2,686.50
6. Step 6: Final answer
   x = 12,667.75