Finding the Third Proportional to 31.75 and 63.69

Step by Step Solution

1. Step 1: Write the proportion equation
   31.75 : 63.69 = 63.69 : x
2. Step 2: Convert to fraction form
   31.75/63.69 = 63.69/x
3. Step 3: Cross multiply
   31.75x = 63.69 × 63.69
4. Step 4: Simplify right side
   31.75x = 4,056.10
5. Step 5: Solve for x
   x = 4,056.10/31.75
6. Step 6: Final answer
   x = 127.75