Finding the Third Proportional to 42.29 and 102.30

Step by Step Solution

1. Step 1: Write the proportion equation
   42.29 : 102.30 = 102.30 : x
2. Step 2: Convert to fraction form
   42.29/102.30 = 102.30/x
3. Step 3: Cross multiply
   42.29x = 102.30 × 102.30
4. Step 4: Simplify right side
   42.29x = 10,466.25
5. Step 5: Solve for x
   x = 10,466.25/42.29
6. Step 6: Final answer
   x = 247.47