Finding the Third Proportional to 35.25 and 51.38

Step by Step Solution

1. Step 1: Write the proportion equation
   35.25 : 51.38 = 51.38 : x
2. Step 2: Convert to fraction form
   35.25/51.38 = 51.38/x
3. Step 3: Cross multiply
   35.25x = 51.38 × 51.38
4. Step 4: Simplify right side
   35.25x = 2,639.39
5. Step 5: Solve for x
   x = 2,639.39/35.25
6. Step 6: Final answer
   x = 74.88