Finding the Third Proportional to 20,824 and 32,564

Step by Step Solution

1. Step 1: Write the proportion equation
   20,824 : 32,564 = 32,564 : x
2. Step 2: Convert to fraction form
   20,824/32,564 = 32,564/x
3. Step 3: Cross multiply
   20,824x = 32,564 × 32,564
4. Step 4: Simplify right side
   20,824x = 1,060,414,096
5. Step 5: Solve for x
   x = 1,060,414,096/20,824
6. Step 6: Final answer
   x = 50,922.69