Finding the Third Proportional to 8,456 and 12,178

Step by Step Solution

1. Step 1: Write the proportion equation
   8,456 : 12,178 = 12,178 : x
2. Step 2: Convert to fraction form
   8,456/12,178 = 12,178/x
3. Step 3: Cross multiply
   8,456x = 12,178 × 12,178
4. Step 4: Simplify right side
   8,456x = 148,303,684
5. Step 5: Solve for x
   x = 148,303,684/8,456
6. Step 6: Final answer
   x = 17,538.28