Finding the Third Proportional to 105.75 and 145.13

Step by Step Solution

1. Step 1: Write the proportion equation
   105.75 : 145.13 = 145.13 : x
2. Step 2: Convert to fraction form
   105.75/145.13 = 145.13/x
3. Step 3: Cross multiply
   105.75x = 145.13 × 145.13
4. Step 4: Simplify right side
   105.75x = 21,061.27
5. Step 5: Solve for x
   x = 21,061.27/105.75
6. Step 6: Final answer
   x = 199.16