Finding the Third Proportional to 2,140.50 and 5,151.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,140.50 : 5,151.75 = 5,151.75 : x
2. Step 2: Convert to fraction form
   2,140.50/5,151.75 = 5,151.75/x
3. Step 3: Cross multiply
   2,140.50x = 5,151.75 × 5,151.75
4. Step 4: Simplify right side
   2,140.50x = 26,540,528.06
5. Step 5: Solve for x
   x = 26,540,528.06/2,140.50
6. Step 6: Final answer
   x = 12,399.22