Finding the Third Proportional to 7,826 and 10,427

Step by Step Solution

1. Step 1: Write the proportion equation
   7,826 : 10,427 = 10,427 : x
2. Step 2: Convert to fraction form
   7,826/10,427 = 10,427/x
3. Step 3: Cross multiply
   7,826x = 10,427 × 10,427
4. Step 4: Simplify right side
   7,826x = 108,722,329
5. Step 5: Solve for x
   x = 108,722,329/7,826
6. Step 6: Final answer
   x = 13,892.45