Finding the Third Proportional to 9,166 and 19,780

Step by Step Solution

1. Step 1: Write the proportion equation
   9,166 : 19,780 = 19,780 : x
2. Step 2: Convert to fraction form
   9,166/19,780 = 19,780/x
3. Step 3: Cross multiply
   9,166x = 19,780 × 19,780
4. Step 4: Simplify right side
   9,166x = 391,248,400
5. Step 5: Solve for x
   x = 391,248,400/9,166
6. Step 6: Final answer
   x = 42,684.75