Finding the Third Proportional to 8,742 and 13,005

Step by Step Solution

1. Step 1: Write the proportion equation
   8,742 : 13,005 = 13,005 : x
2. Step 2: Convert to fraction form
   8,742/13,005 = 13,005/x
3. Step 3: Cross multiply
   8,742x = 13,005 × 13,005
4. Step 4: Simplify right side
   8,742x = 169,130,025
5. Step 5: Solve for x
   x = 169,130,025/8,742
6. Step 6: Final answer
   x = 19,346.83