Finding the Third Proportional to 53.69 and 115.81

Step by Step Solution

1. Step 1: Write the proportion equation
   53.69 : 115.81 = 115.81 : x
2. Step 2: Convert to fraction form
   53.69/115.81 = 115.81/x
3. Step 3: Cross multiply
   53.69x = 115.81 × 115.81
4. Step 4: Simplify right side
   53.69x = 13,412.54
5. Step 5: Solve for x
   x = 13,412.54/53.69
6. Step 6: Final answer
   x = 249.83