Finding the Third Proportional to 6,822 and 16,426

Step by Step Solution

1. Step 1: Write the proportion equation
   6,822 : 16,426 = 16,426 : x
2. Step 2: Convert to fraction form
   6,822/16,426 = 16,426/x
3. Step 3: Cross multiply
   6,822x = 16,426 × 16,426
4. Step 4: Simplify right side
   6,822x = 269,813,476
5. Step 5: Solve for x
   x = 269,813,476/6,822
6. Step 6: Final answer
   x = 39,550.49