Finding the Third Proportional to 7,740 and 12,004

Step by Step Solution

1. Step 1: Write the proportion equation
   7,740 : 12,004 = 12,004 : x
2. Step 2: Convert to fraction form
   7,740/12,004 = 12,004/x
3. Step 3: Cross multiply
   7,740x = 12,004 × 12,004
4. Step 4: Simplify right side
   7,740x = 144,096,016
5. Step 5: Solve for x
   x = 144,096,016/7,740
6. Step 6: Final answer
   x = 18,617.06