Finding the Third Proportional to 31.84 and 38.78

Step by Step Solution

1. Step 1: Write the proportion equation
   31.84 : 38.78 = 38.78 : x
2. Step 2: Convert to fraction form
   31.84/38.78 = 38.78/x
3. Step 3: Cross multiply
   31.84x = 38.78 × 38.78
4. Step 4: Simplify right side
   31.84x = 1,503.99
5. Step 5: Solve for x
   x = 1,503.99/31.84
6. Step 6: Final answer
   x = 47.23