Finding the Third Proportional to 21,564 and 32,538

Step by Step Solution

1. Step 1: Write the proportion equation
   21,564 : 32,538 = 32,538 : x
2. Step 2: Convert to fraction form
   21,564/32,538 = 32,538/x
3. Step 3: Cross multiply
   21,564x = 32,538 × 32,538
4. Step 4: Simplify right side
   21,564x = 1,058,721,444
5. Step 5: Solve for x
   x = 1,058,721,444/21,564
6. Step 6: Final answer
   x = 49,096.71