Finding the Third Proportional to 42.84 and 105.98

Step by Step Solution

1. Step 1: Write the proportion equation
   42.84 : 105.98 = 105.98 : x
2. Step 2: Convert to fraction form
   42.84/105.98 = 105.98/x
3. Step 3: Cross multiply
   42.84x = 105.98 × 105.98
4. Step 4: Simplify right side
   42.84x = 11,232.69
5. Step 5: Solve for x
   x = 11,232.69/42.84
6. Step 6: Final answer
   x = 262.18