Finding the Third Proportional to 19,748 and 31,424

Step by Step Solution

1. Step 1: Write the proportion equation
   19,748 : 31,424 = 31,424 : x
2. Step 2: Convert to fraction form
   19,748/31,424 = 31,424/x
3. Step 3: Cross multiply
   19,748x = 31,424 × 31,424
4. Step 4: Simplify right side
   19,748x = 987,467,776
5. Step 5: Solve for x
   x = 987,467,776/19,748
6. Step 6: Final answer
   x = 50,003.43