Finding the Third Proportional to 46.83 and 101.88

Step by Step Solution

1. Step 1: Write the proportion equation
   46.83 : 101.88 = 101.88 : x
2. Step 2: Convert to fraction form
   46.83/101.88 = 101.88/x
3. Step 3: Cross multiply
   46.83x = 101.88 × 101.88
4. Step 4: Simplify right side
   46.83x = 10,380.11
5. Step 5: Solve for x
   x = 10,380.11/46.83
6. Step 6: Final answer
   x = 221.66