Finding the Third Proportional to 2,687 and 5,835.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,687 : 5,835.25 = 5,835.25 : x
2. Step 2: Convert to fraction form
   2,687/5,835.25 = 5,835.25/x
3. Step 3: Cross multiply
   2,687x = 5,835.25 × 5,835.25
4. Step 4: Simplify right side
   2,687x = 34,050,142.56
5. Step 5: Solve for x
   x = 34,050,142.56/2,687
6. Step 6: Final answer
   x = 12,672.18