Finding the Third Proportional to 17.75 and 37.25

Step by Step Solution

1. Step 1: Write the proportion equation
   17.75 : 37.25 = 37.25 : x
2. Step 2: Convert to fraction form
   17.75/37.25 = 37.25/x
3. Step 3: Cross multiply
   17.75x = 37.25 × 37.25
4. Step 4: Simplify right side
   17.75x = 1,387.56
5. Step 5: Solve for x
   x = 1,387.56/17.75
6. Step 6: Final answer
   x = 78.17