Finding the Third Proportional to 20,538 and 33,066

Step by Step Solution

1. Step 1: Write the proportion equation
   20,538 : 33,066 = 33,066 : x
2. Step 2: Convert to fraction form
   20,538/33,066 = 33,066/x
3. Step 3: Cross multiply
   20,538x = 33,066 × 33,066
4. Step 4: Simplify right side
   20,538x = 1,093,360,356
5. Step 5: Solve for x
   x = 1,093,360,356/20,538
6. Step 6: Final answer
   x = 53,235.97