Finding the Third Proportional to 2,823.75 and 4,377.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,823.75 : 4,377.38 = 4,377.38 : x
2. Step 2: Convert to fraction form
   2,823.75/4,377.38 = 4,377.38/x
3. Step 3: Cross multiply
   2,823.75x = 4,377.38 × 4,377.38
4. Step 4: Simplify right side
   2,823.75x = 19,161,411.89
5. Step 5: Solve for x
   x = 19,161,411.89/2,823.75
6. Step 6: Final answer
   x = 6,785.80