Finding the Third Proportional to 53.75 and 145.25

Step by Step Solution

1. Step 1: Write the proportion equation
   53.75 : 145.25 = 145.25 : x
2. Step 2: Convert to fraction form
   53.75/145.25 = 145.25/x
3. Step 3: Cross multiply
   53.75x = 145.25 × 145.25
4. Step 4: Simplify right side
   53.75x = 21,097.56
5. Step 5: Solve for x
   x = 21,097.56/53.75
6. Step 6: Final answer
   x = 392.51