Finding the Third Proportional to 2,379.69 and 5,199.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,379.69 : 5,199.82 = 5,199.82 : x
2. Step 2: Convert to fraction form
   2,379.69/5,199.82 = 5,199.82/x
3. Step 3: Cross multiply
   2,379.69x = 5,199.82 × 5,199.82
4. Step 4: Simplify right side
   2,379.69x = 27,038,131.28
5. Step 5: Solve for x
   x = 27,038,131.28/2,379.69
6. Step 6: Final answer
   x = 11,362.03