Finding the Third Proportional to 13,930 and 17,643

Step by Step Solution

1. Step 1: Write the proportion equation
   13,930 : 17,643 = 17,643 : x
2. Step 2: Convert to fraction form
   13,930/17,643 = 17,643/x
3. Step 3: Cross multiply
   13,930x = 17,643 × 17,643
4. Step 4: Simplify right side
   13,930x = 311,275,449
5. Step 5: Solve for x
   x = 311,275,449/13,930
6. Step 6: Final answer
   x = 22,345.69