Finding the Third Proportional to 9,406 and 20,384

Step by Step Solution

1. Step 1: Write the proportion equation
   9,406 : 20,384 = 20,384 : x
2. Step 2: Convert to fraction form
   9,406/20,384 = 20,384/x
3. Step 3: Cross multiply
   9,406x = 20,384 × 20,384
4. Step 4: Simplify right side
   9,406x = 415,507,456
5. Step 5: Solve for x
   x = 415,507,456/9,406
6. Step 6: Final answer
   x = 44,174.72