Finding the Third Proportional to 31.85 and 69.82

Step by Step Solution

1. Step 1: Write the proportion equation
   31.85 : 69.82 = 69.82 : x
2. Step 2: Convert to fraction form
   31.85/69.82 = 69.82/x
3. Step 3: Cross multiply
   31.85x = 69.82 × 69.82
4. Step 4: Simplify right side
   31.85x = 4,874.88
5. Step 5: Solve for x
   x = 4,874.88/31.85
6. Step 6: Final answer
   x = 153.05