Finding the Third Proportional to 8,022.38 and 17,266.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,022.38 : 17,266.50 = 17,266.50 : x
2. Step 2: Convert to fraction form
   8,022.38/17,266.50 = 17,266.50/x
3. Step 3: Cross multiply
   8,022.38x = 17,266.50 × 17,266.50
4. Step 4: Simplify right side
   8,022.38x = 298,132,022.25
5. Step 5: Solve for x
   x = 298,132,022.25/8,022.38
6. Step 6: Final answer
   x = 37,162.56