Finding the Third Proportional to 2,569.06 and 3,846.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,569.06 : 3,846.56 = 3,846.56 : x
2. Step 2: Convert to fraction form
   2,569.06/3,846.56 = 3,846.56/x
3. Step 3: Cross multiply
   2,569.06x = 3,846.56 × 3,846.56
4. Step 4: Simplify right side
   2,569.06x = 14,796,043.07
5. Step 5: Solve for x
   x = 14,796,043.07/2,569.06
6. Step 6: Final answer
   x = 5,759.32