Finding the Third Proportional to 10,071 and 10,827

Step by Step Solution

1. Step 1: Write the proportion equation
   10,071 : 10,827 = 10,827 : x
2. Step 2: Convert to fraction form
   10,071/10,827 = 10,827/x
3. Step 3: Cross multiply
   10,071x = 10,827 × 10,827
4. Step 4: Simplify right side
   10,071x = 117,223,929
5. Step 5: Solve for x
   x = 117,223,929/10,071
6. Step 6: Final answer
   x = 11,639.75