Finding the Third Proportional to 21,384 and 32,204

Step by Step Solution

1. Step 1: Write the proportion equation
   21,384 : 32,204 = 32,204 : x
2. Step 2: Convert to fraction form
   21,384/32,204 = 32,204/x
3. Step 3: Cross multiply
   21,384x = 32,204 × 32,204
4. Step 4: Simplify right side
   21,384x = 1,037,097,616
5. Step 5: Solve for x
   x = 1,037,097,616/21,384
6. Step 6: Final answer
   x = 48,498.77