Finding the Third Proportional to 10,071 and 19,412

Step by Step Solution

1. Step 1: Write the proportion equation
   10,071 : 19,412 = 19,412 : x
2. Step 2: Convert to fraction form
   10,071/19,412 = 19,412/x
3. Step 3: Cross multiply
   10,071x = 19,412 × 19,412
4. Step 4: Simplify right side
   10,071x = 376,825,744
5. Step 5: Solve for x
   x = 376,825,744/10,071
6. Step 6: Final answer
   x = 37,416.91