Finding the Third Proportional to 2,306.81 and 5,084.44

Step by Step Solution

1. Step 1: Write the proportion equation
   2,306.81 : 5,084.44 = 5,084.44 : x
2. Step 2: Convert to fraction form
   2,306.81/5,084.44 = 5,084.44/x
3. Step 3: Cross multiply
   2,306.81x = 5,084.44 × 5,084.44
4. Step 4: Simplify right side
   2,306.81x = 25,851,504.69
5. Step 5: Solve for x
   x = 25,851,504.69/2,306.81
6. Step 6: Final answer
   x = 11,206.59