Finding the Third Proportional to 16,826 and 36,404

Step by Step Solution

1. Step 1: Write the proportion equation
   16,826 : 36,404 = 36,404 : x
2. Step 2: Convert to fraction form
   16,826/36,404 = 36,404/x
3. Step 3: Cross multiply
   16,826x = 36,404 × 36,404
4. Step 4: Simplify right side
   16,826x = 1,325,251,216
5. Step 5: Solve for x
   x = 1,325,251,216/16,826
6. Step 6: Final answer
   x = 78,762.11