Finding the Third Proportional to 76.25 and 103.38

Step by Step Solution

1. Step 1: Write the proportion equation
   76.25 : 103.38 = 103.38 : x
2. Step 2: Convert to fraction form
   76.25/103.38 = 103.38/x
3. Step 3: Cross multiply
   76.25x = 103.38 × 103.38
4. Step 4: Simplify right side
   76.25x = 10,686.39
5. Step 5: Solve for x
   x = 10,686.39/76.25
6. Step 6: Final answer
   x = 140.15