Finding the Third Proportional to 10,969 and 24,071

Step by Step Solution

1. Step 1: Write the proportion equation
   10,969 : 24,071 = 24,071 : x
2. Step 2: Convert to fraction form
   10,969/24,071 = 24,071/x
3. Step 3: Cross multiply
   10,969x = 24,071 × 24,071
4. Step 4: Simplify right side
   10,969x = 579,413,041
5. Step 5: Solve for x
   x = 579,413,041/10,969
6. Step 6: Final answer
   x = 52,822.78