Finding the Third Proportional to 5,815.13 and 12,738.56

Step by Step Solution

1. Step 1: Write the proportion equation
   5,815.13 : 12,738.56 = 12,738.56 : x
2. Step 2: Convert to fraction form
   5,815.13/12,738.56 = 12,738.56/x
3. Step 3: Cross multiply
   5,815.13x = 12,738.56 × 12,738.56
4. Step 4: Simplify right side
   5,815.13x = 162,270,974.57
5. Step 5: Solve for x
   x = 162,270,974.57/5,815.13
6. Step 6: Final answer
   x = 27,904.98