Finding the Third Proportional to 19,832 and 30,694

Step by Step Solution

1. Step 1: Write the proportion equation
   19,832 : 30,694 = 30,694 : x
2. Step 2: Convert to fraction form
   19,832/30,694 = 30,694/x
3. Step 3: Cross multiply
   19,832x = 30,694 × 30,694
4. Step 4: Simplify right side
   19,832x = 942,121,636
5. Step 5: Solve for x
   x = 942,121,636/19,832
6. Step 6: Final answer
   x = 47,505.12