Finding the Third Proportional to 6,827 and 10,952

Step by Step Solution

1. Step 1: Write the proportion equation
   6,827 : 10,952 = 10,952 : x
2. Step 2: Convert to fraction form
   6,827/10,952 = 10,952/x
3. Step 3: Cross multiply
   6,827x = 10,952 × 10,952
4. Step 4: Simplify right side
   6,827x = 119,946,304
5. Step 5: Solve for x
   x = 119,946,304/6,827
6. Step 6: Final answer
   x = 17,569.40