Finding the Third Proportional to 46.50 and 96.56

Step by Step Solution

1. Step 1: Write the proportion equation
   46.50 : 96.56 = 96.56 : x
2. Step 2: Convert to fraction form
   46.50/96.56 = 96.56/x
3. Step 3: Cross multiply
   46.50x = 96.56 × 96.56
4. Step 4: Simplify right side
   46.50x = 9,324.32
5. Step 5: Solve for x
   x = 9,324.32/46.50
6. Step 6: Final answer
   x = 200.52