Finding the Third Proportional to 45.75 and 106.06

Step by Step Solution

1. Step 1: Write the proportion equation
   45.75 : 106.06 = 106.06 : x
2. Step 2: Convert to fraction form
   45.75/106.06 = 106.06/x
3. Step 3: Cross multiply
   45.75x = 106.06 × 106.06
4. Step 4: Simplify right side
   45.75x = 11,249.25
5. Step 5: Solve for x
   x = 11,249.25/45.75
6. Step 6: Final answer
   x = 245.89