Finding the Third Proportional to 5,182.88 and 8,002.69

Step by Step Solution

1. Step 1: Write the proportion equation
   5,182.88 : 8,002.69 = 8,002.69 : x
2. Step 2: Convert to fraction form
   5,182.88/8,002.69 = 8,002.69/x
3. Step 3: Cross multiply
   5,182.88x = 8,002.69 × 8,002.69
4. Step 4: Simplify right side
   5,182.88x = 64,043,007.22
5. Step 5: Solve for x
   x = 64,043,007.22/5,182.88
6. Step 6: Final answer
   x = 12,356.66