Finding the Third Proportional to 10,238 and 18,914

Step by Step Solution

1. Step 1: Write the proportion equation
   10,238 : 18,914 = 18,914 : x
2. Step 2: Convert to fraction form
   10,238/18,914 = 18,914/x
3. Step 3: Cross multiply
   10,238x = 18,914 × 18,914
4. Step 4: Simplify right side
   10,238x = 357,739,396
5. Step 5: Solve for x
   x = 357,739,396/10,238
6. Step 6: Final answer
   x = 34,942.31