Finding the Third Proportional to 3,787.88 and 5,789.81

Step by Step Solution

1. Step 1: Write the proportion equation
   3,787.88 : 5,789.81 = 5,789.81 : x
2. Step 2: Convert to fraction form
   3,787.88/5,789.81 = 5,789.81/x
3. Step 3: Cross multiply
   3,787.88x = 5,789.81 × 5,789.81
4. Step 4: Simplify right side
   3,787.88x = 33,521,928.79
5. Step 5: Solve for x
   x = 33,521,928.79/3,787.88
6. Step 6: Final answer
   x = 8,849.80