Finding the Third Proportional to 16,684 and 35,242

Step by Step Solution

1. Step 1: Write the proportion equation
   16,684 : 35,242 = 35,242 : x
2. Step 2: Convert to fraction form
   16,684/35,242 = 35,242/x
3. Step 3: Cross multiply
   16,684x = 35,242 × 35,242
4. Step 4: Simplify right side
   16,684x = 1,241,998,564
5. Step 5: Solve for x
   x = 1,241,998,564/16,684
6. Step 6: Final answer
   x = 74,442.49