Finding the Third Proportional to 38.53 and 90.42

Step by Step Solution

1. Step 1: Write the proportion equation
   38.53 : 90.42 = 90.42 : x
2. Step 2: Convert to fraction form
   38.53/90.42 = 90.42/x
3. Step 3: Cross multiply
   38.53x = 90.42 × 90.42
4. Step 4: Simplify right side
   38.53x = 8,176.12
5. Step 5: Solve for x
   x = 8,176.12/38.53
6. Step 6: Final answer
   x = 212.19