Finding the Third Proportional to 8,296 and 10,972

Step by Step Solution

1. Step 1: Write the proportion equation
   8,296 : 10,972 = 10,972 : x
2. Step 2: Convert to fraction form
   8,296/10,972 = 10,972/x
3. Step 3: Cross multiply
   8,296x = 10,972 × 10,972
4. Step 4: Simplify right side
   8,296x = 120,384,784
5. Step 5: Solve for x
   x = 120,384,784/8,296
6. Step 6: Final answer
   x = 14,511.18