Finding the Third Proportional to 17,764 and 19,780

Step by Step Solution

1. Step 1: Write the proportion equation
   17,764 : 19,780 = 19,780 : x
2. Step 2: Convert to fraction form
   17,764/19,780 = 19,780/x
3. Step 3: Cross multiply
   17,764x = 19,780 × 19,780
4. Step 4: Simplify right side
   17,764x = 391,248,400
5. Step 5: Solve for x
   x = 391,248,400/17,764
6. Step 6: Final answer
   x = 22,024.79