Finding the Third Proportional to 9,628 and 13,003

Step by Step Solution

1. Step 1: Write the proportion equation
   9,628 : 13,003 = 13,003 : x
2. Step 2: Convert to fraction form
   9,628/13,003 = 13,003/x
3. Step 3: Cross multiply
   9,628x = 13,003 × 13,003
4. Step 4: Simplify right side
   9,628x = 169,078,009
5. Step 5: Solve for x
   x = 169,078,009/9,628
6. Step 6: Final answer
   x = 17,561.07