Finding the Third Proportional to 46.41 and 100.20

Step by Step Solution

1. Step 1: Write the proportion equation
   46.41 : 100.20 = 100.20 : x
2. Step 2: Convert to fraction form
   46.41/100.20 = 100.20/x
3. Step 3: Cross multiply
   46.41x = 100.20 × 100.20
4. Step 4: Simplify right side
   46.41x = 10,039.10
5. Step 5: Solve for x
   x = 10,039.10/46.41
6. Step 6: Final answer
   x = 216.33