Finding the Third Proportional to 2,694.94 and 5,823.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,694.94 : 5,823.56 = 5,823.56 : x
2. Step 2: Convert to fraction form
   2,694.94/5,823.56 = 5,823.56/x
3. Step 3: Cross multiply
   2,694.94x = 5,823.56 × 5,823.56
4. Step 4: Simplify right side
   2,694.94x = 33,913,880.19
5. Step 5: Solve for x
   x = 33,913,880.19/2,694.94
6. Step 6: Final answer
   x = 12,584.29