Finding the Third Proportional to 8,665 and 18,914

Step by Step Solution

1. Step 1: Write the proportion equation
   8,665 : 18,914 = 18,914 : x
2. Step 2: Convert to fraction form
   8,665/18,914 = 18,914/x
3. Step 3: Cross multiply
   8,665x = 18,914 × 18,914
4. Step 4: Simplify right side
   8,665x = 357,739,396
5. Step 5: Solve for x
   x = 357,739,396/8,665
6. Step 6: Final answer
   x = 41,285.56