Finding the Third Proportional to 9,100 and 12,874

Step by Step Solution

1. Step 1: Write the proportion equation
   9,100 : 12,874 = 12,874 : x
2. Step 2: Convert to fraction form
   9,100/12,874 = 12,874/x
3. Step 3: Cross multiply
   9,100x = 12,874 × 12,874
4. Step 4: Simplify right side
   9,100x = 165,739,876
5. Step 5: Solve for x
   x = 165,739,876/9,100
6. Step 6: Final answer
   x = 18,213.17