Finding the Third Proportional to 2,775.38 and 5,707.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,775.38 : 5,707.69 = 5,707.69 : x
2. Step 2: Convert to fraction form
   2,775.38/5,707.69 = 5,707.69/x
3. Step 3: Cross multiply
   2,775.38x = 5,707.69 × 5,707.69
4. Step 4: Simplify right side
   2,775.38x = 32,577,696.60
5. Step 5: Solve for x
   x = 32,577,696.60/2,775.38
6. Step 6: Final answer
   x = 11,738.12