Finding the Third Proportional to 57.50 and 77.38

Step by Step Solution

1. Step 1: Write the proportion equation
   57.50 : 77.38 = 77.38 : x
2. Step 2: Convert to fraction form
   57.50/77.38 = 77.38/x
3. Step 3: Cross multiply
   57.50x = 77.38 × 77.38
4. Step 4: Simplify right side
   57.50x = 5,986.89
5. Step 5: Solve for x
   x = 5,986.89/57.50
6. Step 6: Final answer
   x = 104.12