Finding the Third Proportional to 2,706.75 and 5,824.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,706.75 : 5,824.69 = 5,824.69 : x
2. Step 2: Convert to fraction form
   2,706.75/5,824.69 = 5,824.69/x
3. Step 3: Cross multiply
   2,706.75x = 5,824.69 × 5,824.69
4. Step 4: Simplify right side
   2,706.75x = 33,926,984.47
5. Step 5: Solve for x
   x = 33,926,984.47/2,706.75
6. Step 6: Final answer
   x = 12,534.21