Finding the Third Proportional to 9,198.50 and 14,571.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,198.50 : 14,571.75 = 14,571.75 : x
2. Step 2: Convert to fraction form
   9,198.50/14,571.75 = 14,571.75/x
3. Step 3: Cross multiply
   9,198.50x = 14,571.75 × 14,571.75
4. Step 4: Simplify right side
   9,198.50x = 212,335,898.06
5. Step 5: Solve for x
   x = 212,335,898.06/9,198.50
6. Step 6: Final answer
   x = 23,083.75