Finding the Third Proportional to 19,469 and 31,634

Step by Step Solution

1. Step 1: Write the proportion equation
   19,469 : 31,634 = 31,634 : x
2. Step 2: Convert to fraction form
   19,469/31,634 = 31,634/x
3. Step 3: Cross multiply
   19,469x = 31,634 × 31,634
4. Step 4: Simplify right side
   19,469x = 1,000,709,956
5. Step 5: Solve for x
   x = 1,000,709,956/19,469
6. Step 6: Final answer
   x = 51,400.17