Finding the Third Proportional to 10,128 and 20,538

Step by Step Solution

1. Step 1: Write the proportion equation
   10,128 : 20,538 = 20,538 : x
2. Step 2: Convert to fraction form
   10,128/20,538 = 20,538/x
3. Step 3: Cross multiply
   10,128x = 20,538 × 20,538
4. Step 4: Simplify right side
   10,128x = 421,809,444
5. Step 5: Solve for x
   x = 421,809,444/10,128
6. Step 6: Final answer
   x = 41,647.85