Finding the Third Proportional to 31.50 and 75.38

Step by Step Solution

1. Step 1: Write the proportion equation
   31.50 : 75.38 = 75.38 : x
2. Step 2: Convert to fraction form
   31.50/75.38 = 75.38/x
3. Step 3: Cross multiply
   31.50x = 75.38 × 75.38
4. Step 4: Simplify right side
   31.50x = 5,681.39
5. Step 5: Solve for x
   x = 5,681.39/31.50
6. Step 6: Final answer
   x = 180.36