Finding the Third Proportional to 52.50 and 101.44

Step by Step Solution

1. Step 1: Write the proportion equation
   52.50 : 101.44 = 101.44 : x
2. Step 2: Convert to fraction form
   52.50/101.44 = 101.44/x
3. Step 3: Cross multiply
   52.50x = 101.44 × 101.44
4. Step 4: Simplify right side
   52.50x = 10,289.57
5. Step 5: Solve for x
   x = 10,289.57/52.50
6. Step 6: Final answer
   x = 195.99