Finding the Third Proportional to 8,022.50 and 19,327.25

Step by Step Solution

1. Step 1: Write the proportion equation
   8,022.50 : 19,327.25 = 19,327.25 : x
2. Step 2: Convert to fraction form
   8,022.50/19,327.25 = 19,327.25/x
3. Step 3: Cross multiply
   8,022.50x = 19,327.25 × 19,327.25
4. Step 4: Simplify right side
   8,022.50x = 373,542,592.56
5. Step 5: Solve for x
   x = 373,542,592.56/8,022.50
6. Step 6: Final answer
   x = 46,561.87