Finding the Third Proportional to 2,831.25 and 5,861.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,831.25 : 5,861.63 = 5,861.63 : x
2. Step 2: Convert to fraction form
   2,831.25/5,861.63 = 5,861.63/x
3. Step 3: Cross multiply
   2,831.25x = 5,861.63 × 5,861.63
4. Step 4: Simplify right side
   2,831.25x = 34,358,647.64
5. Step 5: Solve for x
   x = 34,358,647.64/2,831.25
6. Step 6: Final answer
   x = 12,135.50