Finding the Third Proportional to 53.69 and 103.06

Step by Step Solution

1. Step 1: Write the proportion equation
   53.69 : 103.06 = 103.06 : x
2. Step 2: Convert to fraction form
   53.69/103.06 = 103.06/x
3. Step 3: Cross multiply
   53.69x = 103.06 × 103.06
4. Step 4: Simplify right side
   53.69x = 10,621.88
5. Step 5: Solve for x
   x = 10,621.88/53.69
6. Step 6: Final answer
   x = 197.85