Finding the Third Proportional to 11,678 and 17,948

Step by Step Solution

1. Step 1: Write the proportion equation
   11,678 : 17,948 = 17,948 : x
2. Step 2: Convert to fraction form
   11,678/17,948 = 17,948/x
3. Step 3: Cross multiply
   11,678x = 17,948 × 17,948
4. Step 4: Simplify right side
   11,678x = 322,130,704
5. Step 5: Solve for x
   x = 322,130,704/11,678
6. Step 6: Final answer
   x = 27,584.41