Finding the Third Proportional to 43.50 and 105.13

Step by Step Solution

1. Step 1: Write the proportion equation
   43.50 : 105.13 = 105.13 : x
2. Step 2: Convert to fraction form
   43.50/105.13 = 105.13/x
3. Step 3: Cross multiply
   43.50x = 105.13 × 105.13
4. Step 4: Simplify right side
   43.50x = 11,051.27
5. Step 5: Solve for x
   x = 11,051.27/43.50
6. Step 6: Final answer
   x = 254.05