Finding the Third Proportional to 2,744.78 and 5,906.51

Step by Step Solution

1. Step 1: Write the proportion equation
   2,744.78 : 5,906.51 = 5,906.51 : x
2. Step 2: Convert to fraction form
   2,744.78/5,906.51 = 5,906.51/x
3. Step 3: Cross multiply
   2,744.78x = 5,906.51 × 5,906.51
4. Step 4: Simplify right side
   2,744.78x = 34,886,903.76
5. Step 5: Solve for x
   x = 34,886,903.76/2,744.78
6. Step 6: Final answer
   x = 12,710.25