Finding the Third Proportional to 5,179.50 and 8,106.75

Step by Step Solution

1. Step 1: Write the proportion equation
   5,179.50 : 8,106.75 = 8,106.75 : x
2. Step 2: Convert to fraction form
   5,179.50/8,106.75 = 8,106.75/x
3. Step 3: Cross multiply
   5,179.50x = 8,106.75 × 8,106.75
4. Step 4: Simplify right side
   5,179.50x = 65,719,395.56
5. Step 5: Solve for x
   x = 65,719,395.56/5,179.50
6. Step 6: Final answer
   x = 12,688.37