Finding the Third Proportional to 2,377.69 and 5,010.19

Step by Step Solution

1. Step 1: Write the proportion equation
   2,377.69 : 5,010.19 = 5,010.19 : x
2. Step 2: Convert to fraction form
   2,377.69/5,010.19 = 5,010.19/x
3. Step 3: Cross multiply
   2,377.69x = 5,010.19 × 5,010.19
4. Step 4: Simplify right side
   2,377.69x = 25,101,978.79
5. Step 5: Solve for x
   x = 25,101,978.79/2,377.69
6. Step 6: Final answer
   x = 10,557.31