Finding the Third Proportional to 48.85 and 100.27

Step by Step Solution

1. Step 1: Write the proportion equation
   48.85 : 100.27 = 100.27 : x
2. Step 2: Convert to fraction form
   48.85/100.27 = 100.27/x
3. Step 3: Cross multiply
   48.85x = 100.27 × 100.27
4. Step 4: Simplify right side
   48.85x = 10,055.03
5. Step 5: Solve for x
   x = 10,055.03/48.85
6. Step 6: Final answer
   x = 205.83