Finding the Third Proportional to 12,684 and 19,506

Step by Step Solution

1. Step 1: Write the proportion equation
   12,684 : 19,506 = 19,506 : x
2. Step 2: Convert to fraction form
   12,684/19,506 = 19,506/x
3. Step 3: Cross multiply
   12,684x = 19,506 × 19,506
4. Step 4: Simplify right side
   12,684x = 380,484,036
5. Step 5: Solve for x
   x = 380,484,036/12,684
6. Step 6: Final answer
   x = 29,997.16