Finding the Third Proportional to 976 and 2,255.50

Step by Step Solution

1. Step 1: Write the proportion equation
   976 : 2,255.50 = 2,255.50 : x
2. Step 2: Convert to fraction form
   976/2,255.50 = 2,255.50/x
3. Step 3: Cross multiply
   976x = 2,255.50 × 2,255.50
4. Step 4: Simplify right side
   976x = 5,087,280.25
5. Step 5: Solve for x
   x = 5,087,280.25/976
6. Step 6: Final answer
   x = 5,212.38