Finding the Third Proportional to 46.35 and 100.14

Step by Step Solution

1. Step 1: Write the proportion equation
   46.35 : 100.14 = 100.14 : x
2. Step 2: Convert to fraction form
   46.35/100.14 = 100.14/x
3. Step 3: Cross multiply
   46.35x = 100.14 × 100.14
4. Step 4: Simplify right side
   46.35x = 10,028.54
5. Step 5: Solve for x
   x = 10,028.54/46.35
6. Step 6: Final answer
   x = 216.35