Finding the Third Proportional to 5,205.94 and 7,960.78

Step by Step Solution

1. Step 1: Write the proportion equation
   5,205.94 : 7,960.78 = 7,960.78 : x
2. Step 2: Convert to fraction form
   5,205.94/7,960.78 = 7,960.78/x
3. Step 3: Cross multiply
   5,205.94x = 7,960.78 × 7,960.78
4. Step 4: Simplify right side
   5,205.94x = 63,374,038.11
5. Step 5: Solve for x
   x = 63,374,038.11/5,205.94
6. Step 6: Final answer
   x = 12,173.42