Finding the Third Proportional to 2,383.50 and 3,783.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,383.50 : 3,783.50 = 3,783.50 : x
2. Step 2: Convert to fraction form
   2,383.50/3,783.50 = 3,783.50/x
3. Step 3: Cross multiply
   2,383.50x = 3,783.50 × 3,783.50
4. Step 4: Simplify right side
   2,383.50x = 14,314,872.25
5. Step 5: Solve for x
   x = 14,314,872.25/2,383.50
6. Step 6: Final answer
   x = 6,005.82