Finding the Third Proportional to 4,684.50 and 11,019.38

Step by Step Solution

1. Step 1: Write the proportion equation
   4,684.50 : 11,019.38 = 11,019.38 : x
2. Step 2: Convert to fraction form
   4,684.50/11,019.38 = 11,019.38/x
3. Step 3: Cross multiply
   4,684.50x = 11,019.38 × 11,019.38
4. Step 4: Simplify right side
   4,684.50x = 121,426,625.39
5. Step 5: Solve for x
   x = 121,426,625.39/4,684.50
6. Step 6: Final answer
   x = 25,920.94