Finding the Third Proportional to 1,537.73 and 2,383.49

Step by Step Solution

1. Step 1: Write the proportion equation
   1,537.73 : 2,383.49 = 2,383.49 : x
2. Step 2: Convert to fraction form
   1,537.73/2,383.49 = 2,383.49/x
3. Step 3: Cross multiply
   1,537.73x = 2,383.49 × 2,383.49
4. Step 4: Simplify right side
   1,537.73x = 5,681,016.39
5. Step 5: Solve for x
   x = 5,681,016.39/1,537.73
6. Step 6: Final answer
   x = 3,694.41