Finding the Third Proportional to 49.78 and 71.16

Step by Step Solution

1. Step 1: Write the proportion equation
   49.78 : 71.16 = 71.16 : x
2. Step 2: Convert to fraction form
   49.78/71.16 = 71.16/x
3. Step 3: Cross multiply
   49.78x = 71.16 × 71.16
4. Step 4: Simplify right side
   49.78x = 5,063.21
5. Step 5: Solve for x
   x = 5,063.21/49.78
6. Step 6: Final answer
   x = 101.71