Finding the Third Proportional to 9,181.50 and 19,821

Step by Step Solution

1. Step 1: Write the proportion equation
   9,181.50 : 19,821 = 19,821 : x
2. Step 2: Convert to fraction form
   9,181.50/19,821 = 19,821/x
3. Step 3: Cross multiply
   9,181.50x = 19,821 × 19,821
4. Step 4: Simplify right side
   9,181.50x = 392,872,041
5. Step 5: Solve for x
   x = 392,872,041/9,181.50
6. Step 6: Final answer
   x = 42,789.53