Finding the Third Proportional to 10,563.75 and 19,399.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,563.75 : 19,399.50 = 19,399.50 : x
2. Step 2: Convert to fraction form
   10,563.75/19,399.50 = 19,399.50/x
3. Step 3: Cross multiply
   10,563.75x = 19,399.50 × 19,399.50
4. Step 4: Simplify right side
   10,563.75x = 376,340,600.25
5. Step 5: Solve for x
   x = 376,340,600.25/10,563.75
6. Step 6: Final answer
   x = 35,625.66