Finding the Third Proportional to 17,744 and 28,284

Step by Step Solution

1. Step 1: Write the proportion equation
   17,744 : 28,284 = 28,284 : x
2. Step 2: Convert to fraction form
   17,744/28,284 = 28,284/x
3. Step 3: Cross multiply
   17,744x = 28,284 × 28,284
4. Step 4: Simplify right side
   17,744x = 799,984,656
5. Step 5: Solve for x
   x = 799,984,656/17,744
6. Step 6: Final answer
   x = 45,084.80