Finding the Third Proportional to 46.69 and 96.61

Step by Step Solution

1. Step 1: Write the proportion equation
   46.69 : 96.61 = 96.61 : x
2. Step 2: Convert to fraction form
   46.69/96.61 = 96.61/x
3. Step 3: Cross multiply
   46.69x = 96.61 × 96.61
4. Step 4: Simplify right side
   46.69x = 9,333.37
5. Step 5: Solve for x
   x = 9,333.37/46.69
6. Step 6: Final answer
   x = 199.91