Finding the Third Proportional to 1,272.56 and 2,706.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,272.56 : 2,706.56 = 2,706.56 : x
2. Step 2: Convert to fraction form
   1,272.56/2,706.56 = 2,706.56/x
3. Step 3: Cross multiply
   1,272.56x = 2,706.56 × 2,706.56
4. Step 4: Simplify right side
   1,272.56x = 7,325,480.57
5. Step 5: Solve for x
   x = 7,325,480.57/1,272.56
6. Step 6: Final answer
   x = 5,756.48