Finding the Third Proportional to 46.41 and 101.46

Step by Step Solution

1. Step 1: Write the proportion equation
   46.41 : 101.46 = 101.46 : x
2. Step 2: Convert to fraction form
   46.41/101.46 = 101.46/x
3. Step 3: Cross multiply
   46.41x = 101.46 × 101.46
4. Step 4: Simplify right side
   46.41x = 10,294.32
5. Step 5: Solve for x
   x = 10,294.32/46.41
6. Step 6: Final answer
   x = 221.83