Finding the Third Proportional to 16,678 and 23,455

Step by Step Solution

1. Step 1: Write the proportion equation
   16,678 : 23,455 = 23,455 : x
2. Step 2: Convert to fraction form
   16,678/23,455 = 23,455/x
3. Step 3: Cross multiply
   16,678x = 23,455 × 23,455
4. Step 4: Simplify right side
   16,678x = 550,137,025
5. Step 5: Solve for x
   x = 550,137,025/16,678
6. Step 6: Final answer
   x = 32,985.79