Finding the Third Proportional to 17,784 and 28,647

Step by Step Solution

1. Step 1: Write the proportion equation
   17,784 : 28,647 = 28,647 : x
2. Step 2: Convert to fraction form
   17,784/28,647 = 28,647/x
3. Step 3: Cross multiply
   17,784x = 28,647 × 28,647
4. Step 4: Simplify right side
   17,784x = 820,650,609
5. Step 5: Solve for x
   x = 820,650,609/17,784
6. Step 6: Final answer
   x = 46,145.45