Finding the Third Proportional to 2,706.75 and 5,632.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,706.75 : 5,632.88 = 5,632.88 : x
2. Step 2: Convert to fraction form
   2,706.75/5,632.88 = 5,632.88/x
3. Step 3: Cross multiply
   2,706.75x = 5,632.88 × 5,632.88
4. Step 4: Simplify right side
   2,706.75x = 31,729,280.77
5. Step 5: Solve for x
   x = 31,729,280.77/2,706.75
6. Step 6: Final answer
   x = 11,722.28