Finding the Third Proportional to 2,706.33 and 5,815.65

Step by Step Solution

1. Step 1: Write the proportion equation
   2,706.33 : 5,815.65 = 5,815.65 : x
2. Step 2: Convert to fraction form
   2,706.33/5,815.65 = 5,815.65/x
3. Step 3: Cross multiply
   2,706.33x = 5,815.65 × 5,815.65
4. Step 4: Simplify right side
   2,706.33x = 33,821,812.18
5. Step 5: Solve for x
   x = 33,821,812.18/2,706.33
6. Step 6: Final answer
   x = 12,497.31