Finding the Third Proportional to 16.50 and 24.56

Step by Step Solution

1. Step 1: Write the proportion equation
   16.50 : 24.56 = 24.56 : x
2. Step 2: Convert to fraction form
   16.50/24.56 = 24.56/x
3. Step 3: Cross multiply
   16.50x = 24.56 × 24.56
4. Step 4: Simplify right side
   16.50x = 603.32
5. Step 5: Solve for x
   x = 603.32/16.50
6. Step 6: Final answer
   x = 36.56