Finding the Third Proportional to 9,126 and 12,911

Step by Step Solution

1. Step 1: Write the proportion equation
   9,126 : 12,911 = 12,911 : x
2. Step 2: Convert to fraction form
   9,126/12,911 = 12,911/x
3. Step 3: Cross multiply
   9,126x = 12,911 × 12,911
4. Step 4: Simplify right side
   9,126x = 166,693,921
5. Step 5: Solve for x
   x = 166,693,921/9,126
6. Step 6: Final answer
   x = 18,265.83