Finding the Third Proportional to 9,826 and 15,238

Step by Step Solution

1. Step 1: Write the proportion equation
   9,826 : 15,238 = 15,238 : x
2. Step 2: Convert to fraction form
   9,826/15,238 = 15,238/x
3. Step 3: Cross multiply
   9,826x = 15,238 × 15,238
4. Step 4: Simplify right side
   9,826x = 232,196,644
5. Step 5: Solve for x
   x = 232,196,644/9,826
6. Step 6: Final answer
   x = 23,630.84