Finding the Third Proportional to 12,864 and 34,392

Step by Step Solution

1. Step 1: Write the proportion equation
   12,864 : 34,392 = 34,392 : x
2. Step 2: Convert to fraction form
   12,864/34,392 = 34,392/x
3. Step 3: Cross multiply
   12,864x = 34,392 × 34,392
4. Step 4: Simplify right side
   12,864x = 1,182,809,664
5. Step 5: Solve for x
   x = 1,182,809,664/12,864
6. Step 6: Final answer
   x = 91,947.27