Finding the Third Proportional to 20,941 and 32,384

Step by Step Solution

1. Step 1: Write the proportion equation
   20,941 : 32,384 = 32,384 : x
2. Step 2: Convert to fraction form
   20,941/32,384 = 32,384/x
3. Step 3: Cross multiply
   20,941x = 32,384 × 32,384
4. Step 4: Simplify right side
   20,941x = 1,048,723,456
5. Step 5: Solve for x
   x = 1,048,723,456/20,941
6. Step 6: Final answer
   x = 50,079.91