Finding the Third Proportional to 9,536 and 10,880

Step by Step Solution

1. Step 1: Write the proportion equation
   9,536 : 10,880 = 10,880 : x
2. Step 2: Convert to fraction form
   9,536/10,880 = 10,880/x
3. Step 3: Cross multiply
   9,536x = 10,880 × 10,880
4. Step 4: Simplify right side
   9,536x = 118,374,400
5. Step 5: Solve for x
   x = 118,374,400/9,536
6. Step 6: Final answer
   x = 12,413.42