Finding the Third Proportional to 9,766 and 13,434

Step by Step Solution

1. Step 1: Write the proportion equation
   9,766 : 13,434 = 13,434 : x
2. Step 2: Convert to fraction form
   9,766/13,434 = 13,434/x
3. Step 3: Cross multiply
   9,766x = 13,434 × 13,434
4. Step 4: Simplify right side
   9,766x = 180,472,356
5. Step 5: Solve for x
   x = 180,472,356/9,766
6. Step 6: Final answer
   x = 18,479.66