Finding the Third Proportional to 16,533 and 34,686

Step by Step Solution

1. Step 1: Write the proportion equation
   16,533 : 34,686 = 34,686 : x
2. Step 2: Convert to fraction form
   16,533/34,686 = 34,686/x
3. Step 3: Cross multiply
   16,533x = 34,686 × 34,686
4. Step 4: Simplify right side
   16,533x = 1,203,118,596
5. Step 5: Solve for x
   x = 1,203,118,596/16,533
6. Step 6: Final answer
   x = 72,770.74