Finding the Third Proportional to 16,826 and 36,456

Step by Step Solution

1. Step 1: Write the proportion equation
   16,826 : 36,456 = 36,456 : x
2. Step 2: Convert to fraction form
   16,826/36,456 = 36,456/x
3. Step 3: Cross multiply
   16,826x = 36,456 × 36,456
4. Step 4: Simplify right side
   16,826x = 1,329,039,936
5. Step 5: Solve for x
   x = 1,329,039,936/16,826
6. Step 6: Final answer
   x = 78,987.28