Finding the Third Proportional to 9,576 and 20,172

Step by Step Solution

1. Step 1: Write the proportion equation
   9,576 : 20,172 = 20,172 : x
2. Step 2: Convert to fraction form
   9,576/20,172 = 20,172/x
3. Step 3: Cross multiply
   9,576x = 20,172 × 20,172
4. Step 4: Simplify right side
   9,576x = 406,909,584
5. Step 5: Solve for x
   x = 406,909,584/9,576
6. Step 6: Final answer
   x = 42,492.65