Finding the Third Proportional to 9,660 and 20,154

Step by Step Solution

1. Step 1: Write the proportion equation
   9,660 : 20,154 = 20,154 : x
2. Step 2: Convert to fraction form
   9,660/20,154 = 20,154/x
3. Step 3: Cross multiply
   9,660x = 20,154 × 20,154
4. Step 4: Simplify right side
   9,660x = 406,183,716
5. Step 5: Solve for x
   x = 406,183,716/9,660
6. Step 6: Final answer
   x = 42,048.00