Finding the Third Proportional to 2,016.14 and 5,484.59

Step by Step Solution

1. Step 1: Write the proportion equation
   2,016.14 : 5,484.59 = 5,484.59 : x
2. Step 2: Convert to fraction form
   2,016.14/5,484.59 = 5,484.59/x
3. Step 3: Cross multiply
   2,016.14x = 5,484.59 × 5,484.59
4. Step 4: Simplify right side
   2,016.14x = 30,080,682.91
5. Step 5: Solve for x
   x = 30,080,682.91/2,016.14
6. Step 6: Final answer
   x = 14,919.93