Finding the Third Proportional to 2,706.22 and 5,865.22

Step by Step Solution

1. Step 1: Write the proportion equation
   2,706.22 : 5,865.22 = 5,865.22 : x
2. Step 2: Convert to fraction form
   2,706.22/5,865.22 = 5,865.22/x
3. Step 3: Cross multiply
   2,706.22x = 5,865.22 × 5,865.22
4. Step 4: Simplify right side
   2,706.22x = 34,400,836.81
5. Step 5: Solve for x
   x = 34,400,836.81/2,706.22
6. Step 6: Final answer
   x = 12,711.75