Finding the Third Proportional to 42.13 and 89.33

Step by Step Solution

1. Step 1: Write the proportion equation
   42.13 : 89.33 = 89.33 : x
2. Step 2: Convert to fraction form
   42.13/89.33 = 89.33/x
3. Step 3: Cross multiply
   42.13x = 89.33 × 89.33
4. Step 4: Simplify right side
   42.13x = 7,980.21
5. Step 5: Solve for x
   x = 7,980.21/42.13
6. Step 6: Final answer
   x = 189.40