Finding the Third Proportional to 3,809.25 and 5,787.38

Step by Step Solution

1. Step 1: Write the proportion equation
   3,809.25 : 5,787.38 = 5,787.38 : x
2. Step 2: Convert to fraction form
   3,809.25/5,787.38 = 5,787.38/x
3. Step 3: Cross multiply
   3,809.25x = 5,787.38 × 5,787.38
4. Step 4: Simplify right side
   3,809.25x = 33,493,709.39
5. Step 5: Solve for x
   x = 33,493,709.39/3,809.25
6. Step 6: Final answer
   x = 8,792.73