Finding the Third Proportional to 46.59 and 101.72

Step by Step Solution

1. Step 1: Write the proportion equation
   46.59 : 101.72 = 101.72 : x
2. Step 2: Convert to fraction form
   46.59/101.72 = 101.72/x
3. Step 3: Cross multiply
   46.59x = 101.72 × 101.72
4. Step 4: Simplify right side
   46.59x = 10,346.70
5. Step 5: Solve for x
   x = 10,346.70/46.59
6. Step 6: Final answer
   x = 222.06