Finding the Third Proportional to 42.25 and 102.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42.25 : 102.50 = 102.50 : x
2. Step 2: Convert to fraction form
   42.25/102.50 = 102.50/x
3. Step 3: Cross multiply
   42.25x = 102.50 × 102.50
4. Step 4: Simplify right side
   42.25x = 10,506.25
5. Step 5: Solve for x
   x = 10,506.25/42.25
6. Step 6: Final answer
   x = 248.67