Finding the Third Proportional to 17.50 and 27.25

Step by Step Solution

1. Step 1: Write the proportion equation
   17.50 : 27.25 = 27.25 : x
2. Step 2: Convert to fraction form
   17.50/27.25 = 27.25/x
3. Step 3: Cross multiply
   17.50x = 27.25 × 27.25
4. Step 4: Simplify right side
   17.50x = 742.56
5. Step 5: Solve for x
   x = 742.56/17.50
6. Step 6: Final answer
   x = 42.43