Finding the Third Proportional to 2,569.78 and 5,321.81

Step by Step Solution

1. Step 1: Write the proportion equation
   2,569.78 : 5,321.81 = 5,321.81 : x
2. Step 2: Convert to fraction form
   2,569.78/5,321.81 = 5,321.81/x
3. Step 3: Cross multiply
   2,569.78x = 5,321.81 × 5,321.81
4. Step 4: Simplify right side
   2,569.78x = 28,321,688.29
5. Step 5: Solve for x
   x = 28,321,688.29/2,569.78
6. Step 6: Final answer
   x = 11,021.05