Finding the Third Proportional to 976.50 and 1,552.50

Step by Step Solution

1. Step 1: Write the proportion equation
   976.50 : 1,552.50 = 1,552.50 : x
2. Step 2: Convert to fraction form
   976.50/1,552.50 = 1,552.50/x
3. Step 3: Cross multiply
   976.50x = 1,552.50 × 1,552.50
4. Step 4: Simplify right side
   976.50x = 2,410,256.25
5. Step 5: Solve for x
   x = 2,410,256.25/976.50
6. Step 6: Final answer
   x = 2,468.26