Finding the Third Proportional to 20,384 and 41,632

Step by Step Solution

1. Step 1: Write the proportion equation
   20,384 : 41,632 = 41,632 : x
2. Step 2: Convert to fraction form
   20,384/41,632 = 41,632/x
3. Step 3: Cross multiply
   20,384x = 41,632 × 41,632
4. Step 4: Simplify right side
   20,384x = 1,733,223,424
5. Step 5: Solve for x
   x = 1,733,223,424/20,384
6. Step 6: Final answer
   x = 85,028.62