Finding the Third Proportional to 5,795 and 14,007

Step by Step Solution

1. Step 1: Write the proportion equation
   5,795 : 14,007 = 14,007 : x
2. Step 2: Convert to fraction form
   5,795/14,007 = 14,007/x
3. Step 3: Cross multiply
   5,795x = 14,007 × 14,007
4. Step 4: Simplify right side
   5,795x = 196,196,049
5. Step 5: Solve for x
   x = 196,196,049/5,795
6. Step 6: Final answer
   x = 33,856.09