Finding the Third Proportional to 10,468 and 12,004

Step by Step Solution

1. Step 1: Write the proportion equation
   10,468 : 12,004 = 12,004 : x
2. Step 2: Convert to fraction form
   10,468/12,004 = 12,004/x
3. Step 3: Cross multiply
   10,468x = 12,004 × 12,004
4. Step 4: Simplify right side
   10,468x = 144,096,016
5. Step 5: Solve for x
   x = 144,096,016/10,468
6. Step 6: Final answer
   x = 13,765.38