Finding the Third Proportional to 9,602 and 13,699

Step by Step Solution

1. Step 1: Write the proportion equation
   9,602 : 13,699 = 13,699 : x
2. Step 2: Convert to fraction form
   9,602/13,699 = 13,699/x
3. Step 3: Cross multiply
   9,602x = 13,699 × 13,699
4. Step 4: Simplify right side
   9,602x = 187,662,601
5. Step 5: Solve for x
   x = 187,662,601/9,602
6. Step 6: Final answer
   x = 19,544.12