Finding the Third Proportional to 10,874.25 and 20,290.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,874.25 : 20,290.50 = 20,290.50 : x
2. Step 2: Convert to fraction form
   10,874.25/20,290.50 = 20,290.50/x
3. Step 3: Cross multiply
   10,874.25x = 20,290.50 × 20,290.50
4. Step 4: Simplify right side
   10,874.25x = 411,704,390.25
5. Step 5: Solve for x
   x = 411,704,390.25/10,874.25
6. Step 6: Final answer
   x = 37,860.49