Finding the Third Proportional to 5,181.38 and 8,105.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,181.38 : 8,105.25 = 8,105.25 : x
2. Step 2: Convert to fraction form
   5,181.38/8,105.25 = 8,105.25/x
3. Step 3: Cross multiply
   5,181.38x = 8,105.25 × 8,105.25
4. Step 4: Simplify right side
   5,181.38x = 65,695,077.56
5. Step 5: Solve for x
   x = 65,695,077.56/5,181.38
6. Step 6: Final answer
   x = 12,679.08