Finding the Third Proportional to 8,538 and 20,665.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,538 : 20,665.50 = 20,665.50 : x
2. Step 2: Convert to fraction form
   8,538/20,665.50 = 20,665.50/x
3. Step 3: Cross multiply
   8,538x = 20,665.50 × 20,665.50
4. Step 4: Simplify right side
   8,538x = 427,062,890.25
5. Step 5: Solve for x
   x = 427,062,890.25/8,538
6. Step 6: Final answer
   x = 50,019.08