Finding the Third Proportional to 5,142.75 and 8,002.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,142.75 : 8,002.25 = 8,002.25 : x
2. Step 2: Convert to fraction form
   5,142.75/8,002.25 = 8,002.25/x
3. Step 3: Cross multiply
   5,142.75x = 8,002.25 × 8,002.25
4. Step 4: Simplify right side
   5,142.75x = 64,036,005.06
5. Step 5: Solve for x
   x = 64,036,005.06/5,142.75
6. Step 6: Final answer
   x = 12,451.70