Finding the Third Proportional to 8,978 and 18,406

Step by Step Solution

1. Step 1: Write the proportion equation
   8,978 : 18,406 = 18,406 : x
2. Step 2: Convert to fraction form
   8,978/18,406 = 18,406/x
3. Step 3: Cross multiply
   8,978x = 18,406 × 18,406
4. Step 4: Simplify right side
   8,978x = 338,780,836
5. Step 5: Solve for x
   x = 338,780,836/8,978
6. Step 6: Final answer
   x = 37,734.56