Finding the Third Proportional to 5,584.50 and 13,161.38

Step by Step Solution

1. Step 1: Write the proportion equation
   5,584.50 : 13,161.38 = 13,161.38 : x
2. Step 2: Convert to fraction form
   5,584.50/13,161.38 = 13,161.38/x
3. Step 3: Cross multiply
   5,584.50x = 13,161.38 × 13,161.38
4. Step 4: Simplify right side
   5,584.50x = 173,221,791.89
5. Step 5: Solve for x
   x = 173,221,791.89/5,584.50
6. Step 6: Final answer
   x = 31,018.32