Finding the Third Proportional to 5,565 and 10,971

Step by Step Solution

1. Step 1: Write the proportion equation
   5,565 : 10,971 = 10,971 : x
2. Step 2: Convert to fraction form
   5,565/10,971 = 10,971/x
3. Step 3: Cross multiply
   5,565x = 10,971 × 10,971
4. Step 4: Simplify right side
   5,565x = 120,362,841
5. Step 5: Solve for x
   x = 120,362,841/5,565
6. Step 6: Final answer
   x = 21,628.54