Finding the Third Proportional to 8,116 and 12,174

Step by Step Solution

1. Step 1: Write the proportion equation
   8,116 : 12,174 = 12,174 : x
2. Step 2: Convert to fraction form
   8,116/12,174 = 12,174/x
3. Step 3: Cross multiply
   8,116x = 12,174 × 12,174
4. Step 4: Simplify right side
   8,116x = 148,206,276
5. Step 5: Solve for x
   x = 148,206,276/8,116
6. Step 6: Final answer
   x = 18,261