Finding the Third Proportional to 369.50 and 871.25

Step by Step Solution

1. Step 1: Write the proportion equation
   369.50 : 871.25 = 871.25 : x
2. Step 2: Convert to fraction form
   369.50/871.25 = 871.25/x
3. Step 3: Cross multiply
   369.50x = 871.25 × 871.25
4. Step 4: Simplify right side
   369.50x = 759,076.56
5. Step 5: Solve for x
   x = 759,076.56/369.50
6. Step 6: Final answer
   x = 2,054.33