Finding the Third Proportional to 10,469 and 19,709

Step by Step Solution

1. Step 1: Write the proportion equation
   10,469 : 19,709 = 19,709 : x
2. Step 2: Convert to fraction form
   10,469/19,709 = 19,709/x
3. Step 3: Cross multiply
   10,469x = 19,709 × 19,709
4. Step 4: Simplify right side
   10,469x = 388,444,681
5. Step 5: Solve for x
   x = 388,444,681/10,469
6. Step 6: Final answer
   x = 37,104.28