Finding the Third Proportional to 5,195.81 and 8,118.56

Step by Step Solution

1. Step 1: Write the proportion equation
   5,195.81 : 8,118.56 = 8,118.56 : x
2. Step 2: Convert to fraction form
   5,195.81/8,118.56 = 8,118.56/x
3. Step 3: Cross multiply
   5,195.81x = 8,118.56 × 8,118.56
4. Step 4: Simplify right side
   5,195.81x = 65,911,057.07
5. Step 5: Solve for x
   x = 65,911,057.07/5,195.81
6. Step 6: Final answer
   x = 12,685.42