Finding the Third Proportional to 10,563.75 and 14,227.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,563.75 : 14,227.50 = 14,227.50 : x
2. Step 2: Convert to fraction form
   10,563.75/14,227.50 = 14,227.50/x
3. Step 3: Cross multiply
   10,563.75x = 14,227.50 × 14,227.50
4. Step 4: Simplify right side
   10,563.75x = 202,421,756.25
5. Step 5: Solve for x
   x = 202,421,756.25/10,563.75
6. Step 6: Final answer
   x = 19,161.92