Finding the Third Proportional to 42.87 and 90.02

Step by Step Solution

1. Step 1: Write the proportion equation
   42.87 : 90.02 = 90.02 : x
2. Step 2: Convert to fraction form
   42.87/90.02 = 90.02/x
3. Step 3: Cross multiply
   42.87x = 90.02 × 90.02
4. Step 4: Simplify right side
   42.87x = 8,103.16
5. Step 5: Solve for x
   x = 8,103.16/42.87
6. Step 6: Final answer
   x = 189.00