Finding the Third Proportional to 12,183 and 19,383.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,183 : 19,383.50 = 19,383.50 : x
2. Step 2: Convert to fraction form
   12,183/19,383.50 = 19,383.50/x
3. Step 3: Cross multiply
   12,183x = 19,383.50 × 19,383.50
4. Step 4: Simplify right side
   12,183x = 375,720,072.25
5. Step 5: Solve for x
   x = 375,720,072.25/12,183
6. Step 6: Final answer
   x = 30,839.70