Finding the Third Proportional to 12,906 and 19,845

Step by Step Solution

1. Step 1: Write the proportion equation
   12,906 : 19,845 = 19,845 : x
2. Step 2: Convert to fraction form
   12,906/19,845 = 19,845/x
3. Step 3: Cross multiply
   12,906x = 19,845 × 19,845
4. Step 4: Simplify right side
   12,906x = 393,824,025
5. Step 5: Solve for x
   x = 393,824,025/12,906
6. Step 6: Final answer
   x = 30,514.80