Finding the Third Proportional to 31.78 and 49.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31.78 : 49.50 = 49.50 : x
2. Step 2: Convert to fraction form
   31.78/49.50 = 49.50/x
3. Step 3: Cross multiply
   31.78x = 49.50 × 49.50
4. Step 4: Simplify right side
   31.78x = 2,450.25
5. Step 5: Solve for x
   x = 2,450.25/31.78
6. Step 6: Final answer
   x = 77.10