Finding the Third Proportional to 10,971 and 24,024

Step by Step Solution

1. Step 1: Write the proportion equation
   10,971 : 24,024 = 24,024 : x
2. Step 2: Convert to fraction form
   10,971/24,024 = 24,024/x
3. Step 3: Cross multiply
   10,971x = 24,024 × 24,024
4. Step 4: Simplify right side
   10,971x = 577,152,576
5. Step 5: Solve for x
   x = 577,152,576/10,971
6. Step 6: Final answer
   x = 52,607.11