Finding the Third Proportional to 35.50 and 50.56

Step by Step Solution

1. Step 1: Write the proportion equation
   35.50 : 50.56 = 50.56 : x
2. Step 2: Convert to fraction form
   35.50/50.56 = 50.56/x
3. Step 3: Cross multiply
   35.50x = 50.56 × 50.56
4. Step 4: Simplify right side
   35.50x = 2,556.57
5. Step 5: Solve for x
   x = 2,556.57/35.50
6. Step 6: Final answer
   x = 72.02