Finding the Third Proportional to 10,422 and 19,806

Step by Step Solution

1. Step 1: Write the proportion equation
   10,422 : 19,806 = 19,806 : x
2. Step 2: Convert to fraction form
   10,422/19,806 = 19,806/x
3. Step 3: Cross multiply
   10,422x = 19,806 × 19,806
4. Step 4: Simplify right side
   10,422x = 392,277,636
5. Step 5: Solve for x
   x = 392,277,636/10,422
6. Step 6: Final answer
   x = 37,639.38