Finding the Third Proportional to 9,662 and 13,053

Step by Step Solution

1. Step 1: Write the proportion equation
   9,662 : 13,053 = 13,053 : x
2. Step 2: Convert to fraction form
   9,662/13,053 = 13,053/x
3. Step 3: Cross multiply
   9,662x = 13,053 × 13,053
4. Step 4: Simplify right side
   9,662x = 170,380,809
5. Step 5: Solve for x
   x = 170,380,809/9,662
6. Step 6: Final answer
   x = 17,634.11