Finding the Third Proportional to 9,011.25 and 14,205.38

Step by Step Solution

1. Step 1: Write the proportion equation
   9,011.25 : 14,205.38 = 14,205.38 : x
2. Step 2: Convert to fraction form
   9,011.25/14,205.38 = 14,205.38/x
3. Step 3: Cross multiply
   9,011.25x = 14,205.38 × 14,205.38
4. Step 4: Simplify right side
   9,011.25x = 201,792,678.89
5. Step 5: Solve for x
   x = 201,792,678.89/9,011.25
6. Step 6: Final answer
   x = 22,393.42