Finding the Third Proportional to 10,238 and 21,338

Step by Step Solution

1. Step 1: Write the proportion equation
   10,238 : 21,338 = 21,338 : x
2. Step 2: Convert to fraction form
   10,238/21,338 = 21,338/x
3. Step 3: Cross multiply
   10,238x = 21,338 × 21,338
4. Step 4: Simplify right side
   10,238x = 455,310,244
5. Step 5: Solve for x
   x = 455,310,244/10,238
6. Step 6: Final answer
   x = 44,472.58