Finding the Third Proportional to 42 and 89.94

Step by Step Solution

1. Step 1: Write the proportion equation
   42 : 89.94 = 89.94 : x
2. Step 2: Convert to fraction form
   42/89.94 = 89.94/x
3. Step 3: Cross multiply
   42x = 89.94 × 89.94
4. Step 4: Simplify right side
   42x = 8,088.75
5. Step 5: Solve for x
   x = 8,088.75/42
6. Step 6: Final answer
   x = 192.59