Finding the Third Proportional to 46.83 and 96.82

Step by Step Solution

1. Step 1: Write the proportion equation
   46.83 : 96.82 = 96.82 : x
2. Step 2: Convert to fraction form
   46.83/96.82 = 96.82/x
3. Step 3: Cross multiply
   46.83x = 96.82 × 96.82
4. Step 4: Simplify right side
   46.83x = 9,374.17
5. Step 5: Solve for x
   x = 9,374.17/46.83
6. Step 6: Final answer
   x = 200.18