Finding the Third Proportional to 52.50 and 103.88

Step by Step Solution

1. Step 1: Write the proportion equation
   52.50 : 103.88 = 103.88 : x
2. Step 2: Convert to fraction form
   52.50/103.88 = 103.88/x
3. Step 3: Cross multiply
   52.50x = 103.88 × 103.88
4. Step 4: Simplify right side
   52.50x = 10,790.02
5. Step 5: Solve for x
   x = 10,790.02/52.50
6. Step 6: Final answer
   x = 205.52