Finding the Third Proportional to 23.77 and 33.78

Step by Step Solution

1. Step 1: Write the proportion equation
   23.77 : 33.78 = 33.78 : x
2. Step 2: Convert to fraction form
   23.77/33.78 = 33.78/x
3. Step 3: Cross multiply
   23.77x = 33.78 × 33.78
4. Step 4: Simplify right side
   23.77x = 1,141.25
5. Step 5: Solve for x
   x = 1,141.25/23.77
6. Step 6: Final answer
   x = 48.01