Finding the Third Proportional to 9,665 and 21,154

Step by Step Solution

1. Step 1: Write the proportion equation
   9,665 : 21,154 = 21,154 : x
2. Step 2: Convert to fraction form
   9,665/21,154 = 21,154/x
3. Step 3: Cross multiply
   9,665x = 21,154 × 21,154
4. Step 4: Simplify right side
   9,665x = 447,491,716
5. Step 5: Solve for x
   x = 447,491,716/9,665
6. Step 6: Final answer
   x = 46,300.23