Finding the Third Proportional to 9,582 and 10,971

Step by Step Solution

1. Step 1: Write the proportion equation
   9,582 : 10,971 = 10,971 : x
2. Step 2: Convert to fraction form
   9,582/10,971 = 10,971/x
3. Step 3: Cross multiply
   9,582x = 10,971 × 10,971
4. Step 4: Simplify right side
   9,582x = 120,362,841
5. Step 5: Solve for x
   x = 120,362,841/9,582
6. Step 6: Final answer
   x = 12,561.35