Finding the Third Proportional to 21,096 and 32,664

Step by Step Solution

1. Step 1: Write the proportion equation
   21,096 : 32,664 = 32,664 : x
2. Step 2: Convert to fraction form
   21,096/32,664 = 32,664/x
3. Step 3: Cross multiply
   21,096x = 32,664 × 32,664
4. Step 4: Simplify right side
   21,096x = 1,066,936,896
5. Step 5: Solve for x
   x = 1,066,936,896/21,096
6. Step 6: Final answer
   x = 50,575.32