Finding the Third Proportional to 9,509 and 14,262

Step by Step Solution

1. Step 1: Write the proportion equation
   9,509 : 14,262 = 14,262 : x
2. Step 2: Convert to fraction form
   9,509/14,262 = 14,262/x
3. Step 3: Cross multiply
   9,509x = 14,262 × 14,262
4. Step 4: Simplify right side
   9,509x = 203,404,644
5. Step 5: Solve for x
   x = 203,404,644/9,509
6. Step 6: Final answer
   x = 21,390.75