Finding the Third Proportional to 46.69 and 97.31

Step by Step Solution

1. Step 1: Write the proportion equation
   46.69 : 97.31 = 97.31 : x
2. Step 2: Convert to fraction form
   46.69/97.31 = 97.31/x
3. Step 3: Cross multiply
   46.69x = 97.31 × 97.31
4. Step 4: Simplify right side
   46.69x = 9,469.72
5. Step 5: Solve for x
   x = 9,469.72/46.69
6. Step 6: Final answer
   x = 202.83