Finding the Third Proportional to 42.84 and 101.05

Step by Step Solution

1. Step 1: Write the proportion equation
   42.84 : 101.05 = 101.05 : x
2. Step 2: Convert to fraction form
   42.84/101.05 = 101.05/x
3. Step 3: Cross multiply
   42.84x = 101.05 × 101.05
4. Step 4: Simplify right side
   42.84x = 10,210.47
5. Step 5: Solve for x
   x = 10,210.47/42.84
6. Step 6: Final answer
   x = 238.32