Finding the Third Proportional to 7,680 and 17,947

Step by Step Solution

1. Step 1: Write the proportion equation
   7,680 : 17,947 = 17,947 : x
2. Step 2: Convert to fraction form
   7,680/17,947 = 17,947/x
3. Step 3: Cross multiply
   7,680x = 17,947 × 17,947
4. Step 4: Simplify right side
   7,680x = 322,094,809
5. Step 5: Solve for x
   x = 322,094,809/7,680
6. Step 6: Final answer
   x = 41,939.43