Finding the Third Proportional to 46.13 and 101.53

Step by Step Solution

1. Step 1: Write the proportion equation
   46.13 : 101.53 = 101.53 : x
2. Step 2: Convert to fraction form
   46.13/101.53 = 101.53/x
3. Step 3: Cross multiply
   46.13x = 101.53 × 101.53
4. Step 4: Simplify right side
   46.13x = 10,308.59
5. Step 5: Solve for x
   x = 10,308.59/46.13
6. Step 6: Final answer
   x = 223.49