Finding the Third Proportional to 17,828 and 27,780

Step by Step Solution

1. Step 1: Write the proportion equation
   17,828 : 27,780 = 27,780 : x
2. Step 2: Convert to fraction form
   17,828/27,780 = 27,780/x
3. Step 3: Cross multiply
   17,828x = 27,780 × 27,780
4. Step 4: Simplify right side
   17,828x = 771,728,400
5. Step 5: Solve for x
   x = 771,728,400/17,828
6. Step 6: Final answer
   x = 43,287.44