Finding the Third Proportional to 23.50 and 33.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23.50 : 33.50 = 33.50 : x
2. Step 2: Convert to fraction form
   23.50/33.50 = 33.50/x
3. Step 3: Cross multiply
   23.50x = 33.50 × 33.50
4. Step 4: Simplify right side
   23.50x = 1,122.25
5. Step 5: Solve for x
   x = 1,122.25/23.50
6. Step 6: Final answer
   x = 47.76