Finding the Third Proportional to 12,194 and 19,392

Step by Step Solution

1. Step 1: Write the proportion equation
   12,194 : 19,392 = 19,392 : x
2. Step 2: Convert to fraction form
   12,194/19,392 = 19,392/x
3. Step 3: Cross multiply
   12,194x = 19,392 × 19,392
4. Step 4: Simplify right side
   12,194x = 376,049,664
5. Step 5: Solve for x
   x = 376,049,664/12,194
6. Step 6: Final answer
   x = 30,838.91