Finding the Third Proportional to 5,151.75 and 8,081.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,151.75 : 8,081.25 = 8,081.25 : x
2. Step 2: Convert to fraction form
   5,151.75/8,081.25 = 8,081.25/x
3. Step 3: Cross multiply
   5,151.75x = 8,081.25 × 8,081.25
4. Step 4: Simplify right side
   5,151.75x = 65,306,601.56
5. Step 5: Solve for x
   x = 65,306,601.56/5,151.75
6. Step 6: Final answer
   x = 12,676.59