Finding the Third Proportional to 9,178 and 12,771

Step by Step Solution

1. Step 1: Write the proportion equation
   9,178 : 12,771 = 12,771 : x
2. Step 2: Convert to fraction form
   9,178/12,771 = 12,771/x
3. Step 3: Cross multiply
   9,178x = 12,771 × 12,771
4. Step 4: Simplify right side
   9,178x = 163,098,441
5. Step 5: Solve for x
   x = 163,098,441/9,178
6. Step 6: Final answer
   x = 17,770.59