Finding the Third Proportional to 2,377.69 and 5,140.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,377.69 : 5,140.69 = 5,140.69 : x
2. Step 2: Convert to fraction form
   2,377.69/5,140.69 = 5,140.69/x
3. Step 3: Cross multiply
   2,377.69x = 5,140.69 × 5,140.69
4. Step 4: Simplify right side
   2,377.69x = 26,426,667.97
5. Step 5: Solve for x
   x = 26,426,667.97/2,377.69
6. Step 6: Final answer
   x = 11,114.44