Finding the Third Proportional to 13,900 and 19,662

Step by Step Solution

1. Step 1: Write the proportion equation
   13,900 : 19,662 = 19,662 : x
2. Step 2: Convert to fraction form
   13,900/19,662 = 19,662/x
3. Step 3: Cross multiply
   13,900x = 19,662 × 19,662
4. Step 4: Simplify right side
   13,900x = 386,594,244
5. Step 5: Solve for x
   x = 386,594,244/13,900
6. Step 6: Final answer
   x = 27,812.54