Finding the Third Proportional to 20,538 and 32,647

Step by Step Solution

1. Step 1: Write the proportion equation
   20,538 : 32,647 = 32,647 : x
2. Step 2: Convert to fraction form
   20,538/32,647 = 32,647/x
3. Step 3: Cross multiply
   20,538x = 32,647 × 32,647
4. Step 4: Simplify right side
   20,538x = 1,065,826,609
5. Step 5: Solve for x
   x = 1,065,826,609/20,538
6. Step 6: Final answer
   x = 51,895.35