Finding the Third Proportional to 63.75 and 102.56

Step by Step Solution

1. Step 1: Write the proportion equation
   63.75 : 102.56 = 102.56 : x
2. Step 2: Convert to fraction form
   63.75/102.56 = 102.56/x
3. Step 3: Cross multiply
   63.75x = 102.56 × 102.56
4. Step 4: Simplify right side
   63.75x = 10,519.07
5. Step 5: Solve for x
   x = 10,519.07/63.75
6. Step 6: Final answer
   x = 165.00