Finding the Third Proportional to 46.05 and 100.02

Step by Step Solution

1. Step 1: Write the proportion equation
   46.05 : 100.02 = 100.02 : x
2. Step 2: Convert to fraction form
   46.05/100.02 = 100.02/x
3. Step 3: Cross multiply
   46.05x = 100.02 × 100.02
4. Step 4: Simplify right side
   46.05x = 10,003.91
5. Step 5: Solve for x
   x = 10,003.91/46.05
6. Step 6: Final answer
   x = 217.22