Finding the Third Proportional to 2,778.25 and 5,916.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,778.25 : 5,916.25 = 5,916.25 : x
2. Step 2: Convert to fraction form
   2,778.25/5,916.25 = 5,916.25/x
3. Step 3: Cross multiply
   2,778.25x = 5,916.25 × 5,916.25
4. Step 4: Simplify right side
   2,778.25x = 35,002,014.06
5. Step 5: Solve for x
   x = 35,002,014.06/2,778.25
6. Step 6: Final answer
   x = 12,598.58