Finding the Third Proportional to 31.78 and 46.69

Step by Step Solution

1. Step 1: Write the proportion equation
   31.78 : 46.69 = 46.69 : x
2. Step 2: Convert to fraction form
   31.78/46.69 = 46.69/x
3. Step 3: Cross multiply
   31.78x = 46.69 × 46.69
4. Step 4: Simplify right side
   31.78x = 2,179.72
5. Step 5: Solve for x
   x = 2,179.72/31.78
6. Step 6: Final answer
   x = 68.59