Finding the Third Proportional to 2,706.54 and 5,906.67

Step by Step Solution

1. Step 1: Write the proportion equation
   2,706.54 : 5,906.67 = 5,906.67 : x
2. Step 2: Convert to fraction form
   2,706.54/5,906.67 = 5,906.67/x
3. Step 3: Cross multiply
   2,706.54x = 5,906.67 × 5,906.67
4. Step 4: Simplify right side
   2,706.54x = 34,888,772.64
5. Step 5: Solve for x
   x = 34,888,772.64/2,706.54
6. Step 6: Final answer
   x = 12,890.55