Finding the Third Proportional to 9,580 and 10,480

Step by Step Solution

1. Step 1: Write the proportion equation
   9,580 : 10,480 = 10,480 : x
2. Step 2: Convert to fraction form
   9,580/10,480 = 10,480/x
3. Step 3: Cross multiply
   9,580x = 10,480 × 10,480
4. Step 4: Simplify right side
   9,580x = 109,830,400
5. Step 5: Solve for x
   x = 109,830,400/9,580
6. Step 6: Final answer
   x = 11,464.55