Finding the Third Proportional to 5,103.50 and 7,806

Step by Step Solution

1. Step 1: Write the proportion equation
   5,103.50 : 7,806 = 7,806 : x
2. Step 2: Convert to fraction form
   5,103.50/7,806 = 7,806/x
3. Step 3: Cross multiply
   5,103.50x = 7,806 × 7,806
4. Step 4: Simplify right side
   5,103.50x = 60,933,636
5. Step 5: Solve for x
   x = 60,933,636/5,103.50
6. Step 6: Final answer
   x = 11,939.58