Finding the Third Proportional to 46.53 and 101.59

Step by Step Solution

1. Step 1: Write the proportion equation
   46.53 : 101.59 = 101.59 : x
2. Step 2: Convert to fraction form
   46.53/101.59 = 101.59/x
3. Step 3: Cross multiply
   46.53x = 101.59 × 101.59
4. Step 4: Simplify right side
   46.53x = 10,321.29
5. Step 5: Solve for x
   x = 10,321.29/46.53
6. Step 6: Final answer
   x = 221.81