Finding the Third Proportional to 48 and 71

Step by Step Solution

1. Step 1: Write the proportion equation
   48 : 71 = 71 : x
2. Step 2: Convert to fraction form
   48/71 = 71/x
3. Step 3: Cross multiply
   48x = 71 × 71
4. Step 4: Simplify right side
   48x = 5,041
5. Step 5: Solve for x
   x = 5,041/48
6. Step 6: Final answer
   x = 105.02