Finding the Third Proportional to 12,896 and 19,706

Step by Step Solution

1. Step 1: Write the proportion equation
   12,896 : 19,706 = 19,706 : x
2. Step 2: Convert to fraction form
   12,896/19,706 = 19,706/x
3. Step 3: Cross multiply
   12,896x = 19,706 × 19,706
4. Step 4: Simplify right side
   12,896x = 388,326,436
5. Step 5: Solve for x
   x = 388,326,436/12,896
6. Step 6: Final answer
   x = 30,112.16