Finding the Third Proportional to 42.56 and 90.81

Step by Step Solution

1. Step 1: Write the proportion equation
   42.56 : 90.81 = 90.81 : x
2. Step 2: Convert to fraction form
   42.56/90.81 = 90.81/x
3. Step 3: Cross multiply
   42.56x = 90.81 × 90.81
4. Step 4: Simplify right side
   42.56x = 8,246.20
5. Step 5: Solve for x
   x = 8,246.20/42.56
6. Step 6: Final answer
   x = 193.77