Finding the Third Proportional to 16,106 and 19,670

Step by Step Solution

1. Step 1: Write the proportion equation
   16,106 : 19,670 = 19,670 : x
2. Step 2: Convert to fraction form
   16,106/19,670 = 19,670/x
3. Step 3: Cross multiply
   16,106x = 19,670 × 19,670
4. Step 4: Simplify right side
   16,106x = 386,908,900
5. Step 5: Solve for x
   x = 386,908,900/16,106
6. Step 6: Final answer
   x = 24,022.66