Finding the Third Proportional to 10,840 and 20,384

Step by Step Solution

1. Step 1: Write the proportion equation
   10,840 : 20,384 = 20,384 : x
2. Step 2: Convert to fraction form
   10,840/20,384 = 20,384/x
3. Step 3: Cross multiply
   10,840x = 20,384 × 20,384
4. Step 4: Simplify right side
   10,840x = 415,507,456
5. Step 5: Solve for x
   x = 415,507,456/10,840
6. Step 6: Final answer
   x = 38,330.95