Finding the Third Proportional to 8,127 and 10,296

Step by Step Solution

1. Step 1: Write the proportion equation
   8,127 : 10,296 = 10,296 : x
2. Step 2: Convert to fraction form
   8,127/10,296 = 10,296/x
3. Step 3: Cross multiply
   8,127x = 10,296 × 10,296
4. Step 4: Simplify right side
   8,127x = 106,007,616
5. Step 5: Solve for x
   x = 106,007,616/8,127
6. Step 6: Final answer
   x = 13,043.88