Finding the Third Proportional to 37.50 and 98.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37.50 : 98.25 = 98.25 : x
2. Step 2: Convert to fraction form
   37.50/98.25 = 98.25/x
3. Step 3: Cross multiply
   37.50x = 98.25 × 98.25
4. Step 4: Simplify right side
   37.50x = 9,653.06
5. Step 5: Solve for x
   x = 9,653.06/37.50
6. Step 6: Final answer
   x = 257.42