Finding the Third Proportional to 9,116 and 12,894

Step by Step Solution

1. Step 1: Write the proportion equation
   9,116 : 12,894 = 12,894 : x
2. Step 2: Convert to fraction form
   9,116/12,894 = 12,894/x
3. Step 3: Cross multiply
   9,116x = 12,894 × 12,894
4. Step 4: Simplify right side
   9,116x = 166,255,236
5. Step 5: Solve for x
   x = 166,255,236/9,116
6. Step 6: Final answer
   x = 18,237.74