Finding the Third Proportional to 9,182.50 and 19,823

Step by Step Solution

1. Step 1: Write the proportion equation
   9,182.50 : 19,823 = 19,823 : x
2. Step 2: Convert to fraction form
   9,182.50/19,823 = 19,823/x
3. Step 3: Cross multiply
   9,182.50x = 19,823 × 19,823
4. Step 4: Simplify right side
   9,182.50x = 392,951,329
5. Step 5: Solve for x
   x = 392,951,329/9,182.50
6. Step 6: Final answer
   x = 42,793.50