Finding the Third Proportional to 9,596 and 12,106

Step by Step Solution

1. Step 1: Write the proportion equation
   9,596 : 12,106 = 12,106 : x
2. Step 2: Convert to fraction form
   9,596/12,106 = 12,106/x
3. Step 3: Cross multiply
   9,596x = 12,106 × 12,106
4. Step 4: Simplify right side
   9,596x = 146,555,236
5. Step 5: Solve for x
   x = 146,555,236/9,596
6. Step 6: Final answer
   x = 15,272.53