Finding the Third Proportional to 2,683.69 and 5,814.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,683.69 : 5,814.56 = 5,814.56 : x
2. Step 2: Convert to fraction form
   2,683.69/5,814.56 = 5,814.56/x
3. Step 3: Cross multiply
   2,683.69x = 5,814.56 × 5,814.56
4. Step 4: Simplify right side
   2,683.69x = 33,809,137.07
5. Step 5: Solve for x
   x = 33,809,137.07/2,683.69
6. Step 6: Final answer
   x = 12,598.02