Finding the Third Proportional to 5,476.78 and 8,205.89

Step by Step Solution

1. Step 1: Write the proportion equation
   5,476.78 : 8,205.89 = 8,205.89 : x
2. Step 2: Convert to fraction form
   5,476.78/8,205.89 = 8,205.89/x
3. Step 3: Cross multiply
   5,476.78x = 8,205.89 × 8,205.89
4. Step 4: Simplify right side
   5,476.78x = 67,336,640.95
5. Step 5: Solve for x
   x = 67,336,640.95/5,476.78
6. Step 6: Final answer
   x = 12,294.93