Finding the Third Proportional to 46.41 and 102.15

Step by Step Solution

1. Step 1: Write the proportion equation
   46.41 : 102.15 = 102.15 : x
2. Step 2: Convert to fraction form
   46.41/102.15 = 102.15/x
3. Step 3: Cross multiply
   46.41x = 102.15 × 102.15
4. Step 4: Simplify right side
   46.41x = 10,433.90
5. Step 5: Solve for x
   x = 10,433.90/46.41
6. Step 6: Final answer
   x = 224.84