Finding the Third Proportional to 2,758.78 and 5,977.97

Step by Step Solution

1. Step 1: Write the proportion equation
   2,758.78 : 5,977.97 = 5,977.97 : x
2. Step 2: Convert to fraction form
   2,758.78/5,977.97 = 5,977.97/x
3. Step 3: Cross multiply
   2,758.78x = 5,977.97 × 5,977.97
4. Step 4: Simplify right side
   2,758.78x = 35,736,110.38
5. Step 5: Solve for x
   x = 35,736,110.38/2,758.78
6. Step 6: Final answer
   x = 12,953.59