Finding the Third Proportional to 12,784 and 19,622

Step by Step Solution

1. Step 1: Write the proportion equation
   12,784 : 19,622 = 19,622 : x
2. Step 2: Convert to fraction form
   12,784/19,622 = 19,622/x
3. Step 3: Cross multiply
   12,784x = 19,622 × 19,622
4. Step 4: Simplify right side
   12,784x = 385,022,884
5. Step 5: Solve for x
   x = 385,022,884/12,784
6. Step 6: Final answer
   x = 30,117.56