Finding the Third Proportional to 38.53 and 83.81

Step by Step Solution

1. Step 1: Write the proportion equation
   38.53 : 83.81 = 83.81 : x
2. Step 2: Convert to fraction form
   38.53/83.81 = 83.81/x
3. Step 3: Cross multiply
   38.53x = 83.81 × 83.81
4. Step 4: Simplify right side
   38.53x = 7,024.54
5. Step 5: Solve for x
   x = 7,024.54/38.53
6. Step 6: Final answer
   x = 182.31