Finding the Third Proportional to 11,738 and 18,251

Step by Step Solution

1. Step 1: Write the proportion equation
   11,738 : 18,251 = 18,251 : x
2. Step 2: Convert to fraction form
   11,738/18,251 = 18,251/x
3. Step 3: Cross multiply
   11,738x = 18,251 × 18,251
4. Step 4: Simplify right side
   11,738x = 333,099,001
5. Step 5: Solve for x
   x = 333,099,001/11,738
6. Step 6: Final answer
   x = 28,377.83