Finding the Third Proportional to 5,578 and 12,007

Step by Step Solution

1. Step 1: Write the proportion equation
   5,578 : 12,007 = 12,007 : x
2. Step 2: Convert to fraction form
   5,578/12,007 = 12,007/x
3. Step 3: Cross multiply
   5,578x = 12,007 × 12,007
4. Step 4: Simplify right side
   5,578x = 144,168,049
5. Step 5: Solve for x
   x = 144,168,049/5,578
6. Step 6: Final answer
   x = 25,845.83