Finding the Third Proportional to 20,384 and 32,216

Step by Step Solution

1. Step 1: Write the proportion equation
   20,384 : 32,216 = 32,216 : x
2. Step 2: Convert to fraction form
   20,384/32,216 = 32,216/x
3. Step 3: Cross multiply
   20,384x = 32,216 × 32,216
4. Step 4: Simplify right side
   20,384x = 1,037,870,656
5. Step 5: Solve for x
   x = 1,037,870,656/20,384
6. Step 6: Final answer
   x = 50,915.95