Finding the Third Proportional to 11,390 and 17,678

Step by Step Solution

1. Step 1: Write the proportion equation
   11,390 : 17,678 = 17,678 : x
2. Step 2: Convert to fraction form
   11,390/17,678 = 17,678/x
3. Step 3: Cross multiply
   11,390x = 17,678 × 17,678
4. Step 4: Simplify right side
   11,390x = 312,511,684
5. Step 5: Solve for x
   x = 312,511,684/11,390
6. Step 6: Final answer
   x = 27,437.37