Finding the Third Proportional to 11,928 and 19,780

Step by Step Solution

1. Step 1: Write the proportion equation
   11,928 : 19,780 = 19,780 : x
2. Step 2: Convert to fraction form
   11,928/19,780 = 19,780/x
3. Step 3: Cross multiply
   11,928x = 19,780 × 19,780
4. Step 4: Simplify right side
   11,928x = 391,248,400
5. Step 5: Solve for x
   x = 391,248,400/11,928
6. Step 6: Final answer
   x = 32,800.84