Finding the Third Proportional to 46.50 and 100.75

Step by Step Solution

1. Step 1: Write the proportion equation
   46.50 : 100.75 = 100.75 : x
2. Step 2: Convert to fraction form
   46.50/100.75 = 100.75/x
3. Step 3: Cross multiply
   46.50x = 100.75 × 100.75
4. Step 4: Simplify right side
   46.50x = 10,150.56
5. Step 5: Solve for x
   x = 10,150.56/46.50
6. Step 6: Final answer
   x = 218.29