Finding the Third Proportional to 16,536 and 33,828

Step by Step Solution

1. Step 1: Write the proportion equation
   16,536 : 33,828 = 33,828 : x
2. Step 2: Convert to fraction form
   16,536/33,828 = 33,828/x
3. Step 3: Cross multiply
   16,536x = 33,828 × 33,828
4. Step 4: Simplify right side
   16,536x = 1,144,333,584
5. Step 5: Solve for x
   x = 1,144,333,584/16,536
6. Step 6: Final answer
   x = 69,202.56