Finding the Third Proportional to 42.19 and 89.44

Step by Step Solution

1. Step 1: Write the proportion equation
   42.19 : 89.44 = 89.44 : x
2. Step 2: Convert to fraction form
   42.19/89.44 = 89.44/x
3. Step 3: Cross multiply
   42.19x = 89.44 × 89.44
4. Step 4: Simplify right side
   42.19x = 7,999.07
5. Step 5: Solve for x
   x = 7,999.07/42.19
6. Step 6: Final answer
   x = 189.61