Finding the Third Proportional to 19.76 and 42.05

Step by Step Solution

1. Step 1: Write the proportion equation
   19.76 : 42.05 = 42.05 : x
2. Step 2: Convert to fraction form
   19.76/42.05 = 42.05/x
3. Step 3: Cross multiply
   19.76x = 42.05 × 42.05
4. Step 4: Simplify right side
   19.76x = 1,767.94
5. Step 5: Solve for x
   x = 1,767.94/19.76
6. Step 6: Final answer
   x = 89.48