Finding the Third Proportional to 12,864 and 17,374

Step by Step Solution

1. Step 1: Write the proportion equation
   12,864 : 17,374 = 17,374 : x
2. Step 2: Convert to fraction form
   12,864/17,374 = 17,374/x
3. Step 3: Cross multiply
   12,864x = 17,374 × 17,374
4. Step 4: Simplify right side
   12,864x = 301,855,876
5. Step 5: Solve for x
   x = 301,855,876/12,864
6. Step 6: Final answer
   x = 23,465.16