Finding the Third Proportional to 10,005 and 13,426

Step by Step Solution

1. Step 1: Write the proportion equation
   10,005 : 13,426 = 13,426 : x
2. Step 2: Convert to fraction form
   10,005/13,426 = 13,426/x
3. Step 3: Cross multiply
   10,005x = 13,426 × 13,426
4. Step 4: Simplify right side
   10,005x = 180,257,476
5. Step 5: Solve for x
   x = 180,257,476/10,005
6. Step 6: Final answer
   x = 18,016.74