Finding the Third Proportional to 31.69 and 66.69

Step by Step Solution

1. Step 1: Write the proportion equation
   31.69 : 66.69 = 66.69 : x
2. Step 2: Convert to fraction form
   31.69/66.69 = 66.69/x
3. Step 3: Cross multiply
   31.69x = 66.69 × 66.69
4. Step 4: Simplify right side
   31.69x = 4,447.22
5. Step 5: Solve for x
   x = 4,447.22/31.69
6. Step 6: Final answer
   x = 140.35