Finding the Third Proportional to 13,823 and 30,238

Step by Step Solution

1. Step 1: Write the proportion equation
   13,823 : 30,238 = 30,238 : x
2. Step 2: Convert to fraction form
   13,823/30,238 = 30,238/x
3. Step 3: Cross multiply
   13,823x = 30,238 × 30,238
4. Step 4: Simplify right side
   13,823x = 914,336,644
5. Step 5: Solve for x
   x = 914,336,644/13,823
6. Step 6: Final answer
   x = 66,146.04