Finding the Third Proportional to 2,826.94 and 5,911.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,826.94 : 5,911.78 = 5,911.78 : x
2. Step 2: Convert to fraction form
   2,826.94/5,911.78 = 5,911.78/x
3. Step 3: Cross multiply
   2,826.94x = 5,911.78 × 5,911.78
4. Step 4: Simplify right side
   2,826.94x = 34,949,157.55
5. Step 5: Solve for x
   x = 34,949,157.55/2,826.94
6. Step 6: Final answer
   x = 12,362.90