Finding the Third Proportional to 31.78 and 46.55

Step by Step Solution

1. Step 1: Write the proportion equation
   31.78 : 46.55 = 46.55 : x
2. Step 2: Convert to fraction form
   31.78/46.55 = 46.55/x
3. Step 3: Cross multiply
   31.78x = 46.55 × 46.55
4. Step 4: Simplify right side
   31.78x = 2,166.61
5. Step 5: Solve for x
   x = 2,166.61/31.78
6. Step 6: Final answer
   x = 68.17