Finding the Third Proportional to 16,896 and 37,678

Step by Step Solution

1. Step 1: Write the proportion equation
   16,896 : 37,678 = 37,678 : x
2. Step 2: Convert to fraction form
   16,896/37,678 = 37,678/x
3. Step 3: Cross multiply
   16,896x = 37,678 × 37,678
4. Step 4: Simplify right side
   16,896x = 1,419,631,684
5. Step 5: Solve for x
   x = 1,419,631,684/16,896
6. Step 6: Final answer
   x = 84,021.76