Finding the Third Proportional to 19,823 and 30,793

Step by Step Solution

1. Step 1: Write the proportion equation
   19,823 : 30,793 = 30,793 : x
2. Step 2: Convert to fraction form
   19,823/30,793 = 30,793/x
3. Step 3: Cross multiply
   19,823x = 30,793 × 30,793
4. Step 4: Simplify right side
   19,823x = 948,208,849
5. Step 5: Solve for x
   x = 948,208,849/19,823
6. Step 6: Final answer
   x = 47,833.77