Finding the Third Proportional to 2,287 and 3,682.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,287 : 3,682.50 = 3,682.50 : x
2. Step 2: Convert to fraction form
   2,287/3,682.50 = 3,682.50/x
3. Step 3: Cross multiply
   2,287x = 3,682.50 × 3,682.50
4. Step 4: Simplify right side
   2,287x = 13,560,806.25
5. Step 5: Solve for x
   x = 13,560,806.25/2,287
6. Step 6: Final answer
   x = 5,929.52