Finding the Third Proportional to 2,493.28 and 5,206.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,493.28 : 5,206.78 = 5,206.78 : x
2. Step 2: Convert to fraction form
   2,493.28/5,206.78 = 5,206.78/x
3. Step 3: Cross multiply
   2,493.28x = 5,206.78 × 5,206.78
4. Step 4: Simplify right side
   2,493.28x = 27,110,570.99
5. Step 5: Solve for x
   x = 27,110,570.99/2,493.28
6. Step 6: Final answer
   x = 10,873.45