Finding the Third Proportional to 21,536 and 32,920

Step by Step Solution

1. Step 1: Write the proportion equation
   21,536 : 32,920 = 32,920 : x
2. Step 2: Convert to fraction form
   21,536/32,920 = 32,920/x
3. Step 3: Cross multiply
   21,536x = 32,920 × 32,920
4. Step 4: Simplify right side
   21,536x = 1,083,726,400
5. Step 5: Solve for x
   x = 1,083,726,400/21,536
6. Step 6: Final answer
   x = 50,321.62