Finding the Third Proportional to 2,743.88 and 5,916.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,743.88 : 5,916.75 = 5,916.75 : x
2. Step 2: Convert to fraction form
   2,743.88/5,916.75 = 5,916.75/x
3. Step 3: Cross multiply
   2,743.88x = 5,916.75 × 5,916.75
4. Step 4: Simplify right side
   2,743.88x = 35,007,930.56
5. Step 5: Solve for x
   x = 35,007,930.56/2,743.88
6. Step 6: Final answer
   x = 12,758.57