Finding the Third Proportional to 42.66 and 89.91

Step by Step Solution

1. Step 1: Write the proportion equation
   42.66 : 89.91 = 89.91 : x
2. Step 2: Convert to fraction form
   42.66/89.91 = 89.91/x
3. Step 3: Cross multiply
   42.66x = 89.91 × 89.91
4. Step 4: Simplify right side
   42.66x = 8,084.19
5. Step 5: Solve for x
   x = 8,084.19/42.66
6. Step 6: Final answer
   x = 189.49