Finding the Third Proportional to 21,015 and 32,538.38

Step by Step Solution

1. Step 1: Write the proportion equation
   21,015 : 32,538.38 = 32,538.38 : x
2. Step 2: Convert to fraction form
   21,015/32,538.38 = 32,538.38/x
3. Step 3: Cross multiply
   21,015x = 32,538.38 × 32,538.38
4. Step 4: Simplify right side
   21,015x = 1,058,745,847.64
5. Step 5: Solve for x
   x = 1,058,745,847.64/21,015
6. Step 6: Final answer
   x = 50,380.48