Finding the Third Proportional to 31.69 and 69.56

Step by Step Solution

1. Step 1: Write the proportion equation
   31.69 : 69.56 = 69.56 : x
2. Step 2: Convert to fraction form
   31.69/69.56 = 69.56/x
3. Step 3: Cross multiply
   31.69x = 69.56 × 69.56
4. Step 4: Simplify right side
   31.69x = 4,838.94
5. Step 5: Solve for x
   x = 4,838.94/31.69
6. Step 6: Final answer
   x = 152.71