Finding the Third Proportional to 9,538.50 and 20,665

Step by Step Solution

1. Step 1: Write the proportion equation
   9,538.50 : 20,665 = 20,665 : x
2. Step 2: Convert to fraction form
   9,538.50/20,665 = 20,665/x
3. Step 3: Cross multiply
   9,538.50x = 20,665 × 20,665
4. Step 4: Simplify right side
   9,538.50x = 427,042,225
5. Step 5: Solve for x
   x = 427,042,225/9,538.50
6. Step 6: Final answer
   x = 44,770.38