Finding the Third Proportional to 4,097.25 and 9,022.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,097.25 : 9,022.50 = 9,022.50 : x
2. Step 2: Convert to fraction form
   4,097.25/9,022.50 = 9,022.50/x
3. Step 3: Cross multiply
   4,097.25x = 9,022.50 × 9,022.50
4. Step 4: Simplify right side
   4,097.25x = 81,405,506.25
5. Step 5: Solve for x
   x = 81,405,506.25/4,097.25
6. Step 6: Final answer
   x = 19,868.33