Finding the Third Proportional to 10,306 and 19,790

Step by Step Solution

1. Step 1: Write the proportion equation
   10,306 : 19,790 = 19,790 : x
2. Step 2: Convert to fraction form
   10,306/19,790 = 19,790/x
3. Step 3: Cross multiply
   10,306x = 19,790 × 19,790
4. Step 4: Simplify right side
   10,306x = 391,644,100
5. Step 5: Solve for x
   x = 391,644,100/10,306
6. Step 6: Final answer
   x = 38,001.56