Finding the Third Proportional to 5,103.21 and 7,806.69

Step by Step Solution

1. Step 1: Write the proportion equation
   5,103.21 : 7,806.69 = 7,806.69 : x
2. Step 2: Convert to fraction form
   5,103.21/7,806.69 = 7,806.69/x
3. Step 3: Cross multiply
   5,103.21x = 7,806.69 × 7,806.69
4. Step 4: Simplify right side
   5,103.21x = 60,944,430.71
5. Step 5: Solve for x
   x = 60,944,430.71/5,103.21
6. Step 6: Final answer
   x = 11,942.37