Finding the Third Proportional to 40.50 and 72.56

Step by Step Solution

1. Step 1: Write the proportion equation
   40.50 : 72.56 = 72.56 : x
2. Step 2: Convert to fraction form
   40.50/72.56 = 72.56/x
3. Step 3: Cross multiply
   40.50x = 72.56 × 72.56
4. Step 4: Simplify right side
   40.50x = 5,265.32
5. Step 5: Solve for x
   x = 5,265.32/40.50
6. Step 6: Final answer
   x = 130.01