Finding the Third Proportional to 7,749 and 16,947

Step by Step Solution

1. Step 1: Write the proportion equation
   7,749 : 16,947 = 16,947 : x
2. Step 2: Convert to fraction form
   7,749/16,947 = 16,947/x
3. Step 3: Cross multiply
   7,749x = 16,947 × 16,947
4. Step 4: Simplify right side
   7,749x = 287,200,809
5. Step 5: Solve for x
   x = 287,200,809/7,749
6. Step 6: Final answer
   x = 37,062.95