Finding the Third Proportional to 9,536 and 14,004

Step by Step Solution

1. Step 1: Write the proportion equation
   9,536 : 14,004 = 14,004 : x
2. Step 2: Convert to fraction form
   9,536/14,004 = 14,004/x
3. Step 3: Cross multiply
   9,536x = 14,004 × 14,004
4. Step 4: Simplify right side
   9,536x = 196,112,016
5. Step 5: Solve for x
   x = 196,112,016/9,536
6. Step 6: Final answer
   x = 20,565.44