Finding the Third Proportional to 49.36 and 102.52

Step by Step Solution

1. Step 1: Write the proportion equation
   49.36 : 102.52 = 102.52 : x
2. Step 2: Convert to fraction form
   49.36/102.52 = 102.52/x
3. Step 3: Cross multiply
   49.36x = 102.52 × 102.52
4. Step 4: Simplify right side
   49.36x = 10,509.45
5. Step 5: Solve for x
   x = 10,509.45/49.36
6. Step 6: Final answer
   x = 212.92