Finding the Third Proportional to 17.50 and 40.56

Step by Step Solution

1. Step 1: Write the proportion equation
   17.50 : 40.56 = 40.56 : x
2. Step 2: Convert to fraction form
   17.50/40.56 = 40.56/x
3. Step 3: Cross multiply
   17.50x = 40.56 × 40.56
4. Step 4: Simplify right side
   17.50x = 1,645.32
5. Step 5: Solve for x
   x = 1,645.32/17.50
6. Step 6: Final answer
   x = 94.02