Finding the Third Proportional to 3,809 and 5,787.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,809 : 5,787.50 = 5,787.50 : x
2. Step 2: Convert to fraction form
   3,809/5,787.50 = 5,787.50/x
3. Step 3: Cross multiply
   3,809x = 5,787.50 × 5,787.50
4. Step 4: Simplify right side
   3,809x = 33,495,156.25
5. Step 5: Solve for x
   x = 33,495,156.25/3,809
6. Step 6: Final answer
   x = 8,793.69