Finding the Third Proportional to 127.50 and 145.25

Step by Step Solution

1. Step 1: Write the proportion equation
   127.50 : 145.25 = 145.25 : x
2. Step 2: Convert to fraction form
   127.50/145.25 = 145.25/x
3. Step 3: Cross multiply
   127.50x = 145.25 × 145.25
4. Step 4: Simplify right side
   127.50x = 21,097.56
5. Step 5: Solve for x
   x = 21,097.56/127.50
6. Step 6: Final answer
   x = 165.47