Finding the Third Proportional to 8,404 and 10,159

Step by Step Solution

1. Step 1: Write the proportion equation
   8,404 : 10,159 = 10,159 : x
2. Step 2: Convert to fraction form
   8,404/10,159 = 10,159/x
3. Step 3: Cross multiply
   8,404x = 10,159 × 10,159
4. Step 4: Simplify right side
   8,404x = 103,205,281
5. Step 5: Solve for x
   x = 103,205,281/8,404
6. Step 6: Final answer
   x = 12,280.50