Finding the Third Proportional to 5,778.84 and 12,556.27

Step by Step Solution

1. Step 1: Write the proportion equation
   5,778.84 : 12,556.27 = 12,556.27 : x
2. Step 2: Convert to fraction form
   5,778.84/12,556.27 = 12,556.27/x
3. Step 3: Cross multiply
   5,778.84x = 12,556.27 × 12,556.27
4. Step 4: Simplify right side
   5,778.84x = 157,659,806.45
5. Step 5: Solve for x
   x = 157,659,806.45/5,778.84
6. Step 6: Final answer
   x = 27,282.24