Finding the Third Proportional to 12,890 and 19,605

Step by Step Solution

1. Step 1: Write the proportion equation
   12,890 : 19,605 = 19,605 : x
2. Step 2: Convert to fraction form
   12,890/19,605 = 19,605/x
3. Step 3: Cross multiply
   12,890x = 19,605 × 19,605
4. Step 4: Simplify right side
   12,890x = 384,356,025
5. Step 5: Solve for x
   x = 384,356,025/12,890
6. Step 6: Final answer
   x = 29,818.16