Finding the Third Proportional to 19,821 and 41,281.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,821 : 41,281.50 = 41,281.50 : x
2. Step 2: Convert to fraction form
   19,821/41,281.50 = 41,281.50/x
3. Step 3: Cross multiply
   19,821x = 41,281.50 × 41,281.50
4. Step 4: Simplify right side
   19,821x = 1,704,162,242.25
5. Step 5: Solve for x
   x = 1,704,162,242.25/19,821
6. Step 6: Final answer
   x = 85,977.61