Finding the Third Proportional to 10,972 and 16,678

Step by Step Solution

1. Step 1: Write the proportion equation
   10,972 : 16,678 = 16,678 : x
2. Step 2: Convert to fraction form
   10,972/16,678 = 16,678/x
3. Step 3: Cross multiply
   10,972x = 16,678 × 16,678
4. Step 4: Simplify right side
   10,972x = 278,155,684
5. Step 5: Solve for x
   x = 278,155,684/10,972
6. Step 6: Final answer
   x = 25,351.41