Finding the Third Proportional to 8,097.75 and 17,426.25

Step by Step Solution

1. Step 1: Write the proportion equation
   8,097.75 : 17,426.25 = 17,426.25 : x
2. Step 2: Convert to fraction form
   8,097.75/17,426.25 = 17,426.25/x
3. Step 3: Cross multiply
   8,097.75x = 17,426.25 × 17,426.25
4. Step 4: Simplify right side
   8,097.75x = 303,674,189.06
5. Step 5: Solve for x
   x = 303,674,189.06/8,097.75
6. Step 6: Final answer
   x = 37,501.06