Finding the Third Proportional to 5,168.81 and 7,906.78

Step by Step Solution

1. Step 1: Write the proportion equation
   5,168.81 : 7,906.78 = 7,906.78 : x
2. Step 2: Convert to fraction form
   5,168.81/7,906.78 = 7,906.78/x
3. Step 3: Cross multiply
   5,168.81x = 7,906.78 × 7,906.78
4. Step 4: Simplify right side
   5,168.81x = 62,517,189.74
5. Step 5: Solve for x
   x = 62,517,189.74/5,168.81
6. Step 6: Final answer
   x = 12,095.08