Finding the Third Proportional to 11,738 and 19,383

Step by Step Solution

1. Step 1: Write the proportion equation
   11,738 : 19,383 = 19,383 : x
2. Step 2: Convert to fraction form
   11,738/19,383 = 19,383/x
3. Step 3: Cross multiply
   11,738x = 19,383 × 19,383
4. Step 4: Simplify right side
   11,738x = 375,700,689
5. Step 5: Solve for x
   x = 375,700,689/11,738
6. Step 6: Final answer
   x = 32,007.21