Finding the Third Proportional to 16,207 and 33,538

Step by Step Solution

1. Step 1: Write the proportion equation
   16,207 : 33,538 = 33,538 : x
2. Step 2: Convert to fraction form
   16,207/33,538 = 33,538/x
3. Step 3: Cross multiply
   16,207x = 33,538 × 33,538
4. Step 4: Simplify right side
   16,207x = 1,124,797,444
5. Step 5: Solve for x
   x = 1,124,797,444/16,207
6. Step 6: Final answer
   x = 69,401.95