Finding the Third Proportional to 9,178 and 12,770

Step by Step Solution

1. Step 1: Write the proportion equation
   9,178 : 12,770 = 12,770 : x
2. Step 2: Convert to fraction form
   9,178/12,770 = 12,770/x
3. Step 3: Cross multiply
   9,178x = 12,770 × 12,770
4. Step 4: Simplify right side
   9,178x = 163,072,900
5. Step 5: Solve for x
   x = 163,072,900/9,178
6. Step 6: Final answer
   x = 17,767.80