Finding the Third Proportional to 12,644 and 19,862

Step by Step Solution

1. Step 1: Write the proportion equation
   12,644 : 19,862 = 19,862 : x
2. Step 2: Convert to fraction form
   12,644/19,862 = 19,862/x
3. Step 3: Cross multiply
   12,644x = 19,862 × 19,862
4. Step 4: Simplify right side
   12,644x = 394,499,044
5. Step 5: Solve for x
   x = 394,499,044/12,644
6. Step 6: Final answer
   x = 31,200.49