Finding the Third Proportional to 5,114.39 and 11,185.59

Step by Step Solution

1. Step 1: Write the proportion equation
   5,114.39 : 11,185.59 = 11,185.59 : x
2. Step 2: Convert to fraction form
   5,114.39/11,185.59 = 11,185.59/x
3. Step 3: Cross multiply
   5,114.39x = 11,185.59 × 11,185.59
4. Step 4: Simplify right side
   5,114.39x = 125,117,507.54
5. Step 5: Solve for x
   x = 125,117,507.54/5,114.39
6. Step 6: Final answer
   x = 24,463.82