Finding the Third Proportional to 9,384 and 19,846

Step by Step Solution

1. Step 1: Write the proportion equation
   9,384 : 19,846 = 19,846 : x
2. Step 2: Convert to fraction form
   9,384/19,846 = 19,846/x
3. Step 3: Cross multiply
   9,384x = 19,846 × 19,846
4. Step 4: Simplify right side
   9,384x = 393,863,716
5. Step 5: Solve for x
   x = 393,863,716/9,384
6. Step 6: Final answer
   x = 41,971.84