Finding the Third Proportional to 46.86 and 101.95

Step by Step Solution

1. Step 1: Write the proportion equation
   46.86 : 101.95 = 101.95 : x
2. Step 2: Convert to fraction form
   46.86/101.95 = 101.95/x
3. Step 3: Cross multiply
   46.86x = 101.95 × 101.95
4. Step 4: Simplify right side
   46.86x = 10,393.42
5. Step 5: Solve for x
   x = 10,393.42/46.86
6. Step 6: Final answer
   x = 221.78