Finding the Third Proportional to 7,742 and 12,003

Step by Step Solution

1. Step 1: Write the proportion equation
   7,742 : 12,003 = 12,003 : x
2. Step 2: Convert to fraction form
   7,742/12,003 = 12,003/x
3. Step 3: Cross multiply
   7,742x = 12,003 × 12,003
4. Step 4: Simplify right side
   7,742x = 144,072,009
5. Step 5: Solve for x
   x = 144,072,009/7,742
6. Step 6: Final answer
   x = 18,609.15