Finding the Third Proportional to 21,538 and 32,923

Step by Step Solution

1. Step 1: Write the proportion equation
   21,538 : 32,923 = 32,923 : x
2. Step 2: Convert to fraction form
   21,538/32,923 = 32,923/x
3. Step 3: Cross multiply
   21,538x = 32,923 × 32,923
4. Step 4: Simplify right side
   21,538x = 1,083,923,929
5. Step 5: Solve for x
   x = 1,083,923,929/21,538
6. Step 6: Final answer
   x = 50,326.12