Finding the Third Proportional to 9,646 and 12,903

Step by Step Solution

1. Step 1: Write the proportion equation
   9,646 : 12,903 = 12,903 : x
2. Step 2: Convert to fraction form
   9,646/12,903 = 12,903/x
3. Step 3: Cross multiply
   9,646x = 12,903 × 12,903
4. Step 4: Simplify right side
   9,646x = 166,487,409
5. Step 5: Solve for x
   x = 166,487,409/9,646
6. Step 6: Final answer
   x = 17,259.74