Finding the Third Proportional to 10,372 and 12,004

Step by Step Solution

1. Step 1: Write the proportion equation
   10,372 : 12,004 = 12,004 : x
2. Step 2: Convert to fraction form
   10,372/12,004 = 12,004/x
3. Step 3: Cross multiply
   10,372x = 12,004 × 12,004
4. Step 4: Simplify right side
   10,372x = 144,096,016
5. Step 5: Solve for x
   x = 144,096,016/10,372
6. Step 6: Final answer
   x = 13,892.79