Finding the Third Proportional to 5,144.77 and 7,789.29

Step by Step Solution

1. Step 1: Write the proportion equation
   5,144.77 : 7,789.29 = 7,789.29 : x
2. Step 2: Convert to fraction form
   5,144.77/7,789.29 = 7,789.29/x
3. Step 3: Cross multiply
   5,144.77x = 7,789.29 × 7,789.29
4. Step 4: Simplify right side
   5,144.77x = 60,673,024.10
5. Step 5: Solve for x
   x = 60,673,024.10/5,144.77
6. Step 6: Final answer
   x = 11,793.16