Finding the Third Proportional to 5,141.75 and 8,041.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,141.75 : 8,041.25 = 8,041.25 : x
2. Step 2: Convert to fraction form
   5,141.75/8,041.25 = 8,041.25/x
3. Step 3: Cross multiply
   5,141.75x = 8,041.25 × 8,041.25
4. Step 4: Simplify right side
   5,141.75x = 64,661,701.56
5. Step 5: Solve for x
   x = 64,661,701.56/5,141.75
6. Step 6: Final answer
   x = 12,575.82