Finding the Third Proportional to 6,171.56 and 13,078.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6,171.56 : 13,078.69 = 13,078.69 : x
2. Step 2: Convert to fraction form
   6,171.56/13,078.69 = 13,078.69/x
3. Step 3: Cross multiply
   6,171.56x = 13,078.69 × 13,078.69
4. Step 4: Simplify right side
   6,171.56x = 171,052,066.72
5. Step 5: Solve for x
   x = 171,052,066.72/6,171.56
6. Step 6: Final answer
   x = 27,716.17