Finding the Third Proportional to 9,116 and 12,170

Step by Step Solution

1. Step 1: Write the proportion equation
   9,116 : 12,170 = 12,170 : x
2. Step 2: Convert to fraction form
   9,116/12,170 = 12,170/x
3. Step 3: Cross multiply
   9,116x = 12,170 × 12,170
4. Step 4: Simplify right side
   9,116x = 148,108,900
5. Step 5: Solve for x
   x = 148,108,900/9,116
6. Step 6: Final answer
   x = 16,247.14