Finding the Third Proportional to 17,748 and 27,828

Step by Step Solution

1. Step 1: Write the proportion equation
   17,748 : 27,828 = 27,828 : x
2. Step 2: Convert to fraction form
   17,748/27,828 = 27,828/x
3. Step 3: Cross multiply
   17,748x = 27,828 × 27,828
4. Step 4: Simplify right side
   17,748x = 774,397,584
5. Step 5: Solve for x
   x = 774,397,584/17,748
6. Step 6: Final answer
   x = 43,632.95