Finding the Third Proportional to 9,396 and 12,758

Step by Step Solution

1. Step 1: Write the proportion equation
   9,396 : 12,758 = 12,758 : x
2. Step 2: Convert to fraction form
   9,396/12,758 = 12,758/x
3. Step 3: Cross multiply
   9,396x = 12,758 × 12,758
4. Step 4: Simplify right side
   9,396x = 162,766,564
5. Step 5: Solve for x
   x = 162,766,564/9,396
6. Step 6: Final answer
   x = 17,322.96