Finding the Third Proportional to 48 and 127.50

Step by Step Solution

1. Step 1: Write the proportion equation
   48 : 127.50 = 127.50 : x
2. Step 2: Convert to fraction form
   48/127.50 = 127.50/x
3. Step 3: Cross multiply
   48x = 127.50 × 127.50
4. Step 4: Simplify right side
   48x = 16,256.25
5. Step 5: Solve for x
   x = 16,256.25/48
6. Step 6: Final answer
   x = 338.67