Finding the Third Proportional to 12,684 and 19,406

Step by Step Solution

1. Step 1: Write the proportion equation
   12,684 : 19,406 = 19,406 : x
2. Step 2: Convert to fraction form
   12,684/19,406 = 19,406/x
3. Step 3: Cross multiply
   12,684x = 19,406 × 19,406
4. Step 4: Simplify right side
   12,684x = 376,592,836
5. Step 5: Solve for x
   x = 376,592,836/12,684
6. Step 6: Final answer
   x = 29,690.38