Finding the Third Proportional to 51.81 and 102.31

Step by Step Solution

1. Step 1: Write the proportion equation
   51.81 : 102.31 = 102.31 : x
2. Step 2: Convert to fraction form
   51.81/102.31 = 102.31/x
3. Step 3: Cross multiply
   51.81x = 102.31 × 102.31
4. Step 4: Simplify right side
   51.81x = 10,467.85
5. Step 5: Solve for x
   x = 10,467.85/51.81
6. Step 6: Final answer
   x = 202.03