Finding the Third Proportional to 7,658 and 10,783

Step by Step Solution

1. Step 1: Write the proportion equation
   7,658 : 10,783 = 10,783 : x
2. Step 2: Convert to fraction form
   7,658/10,783 = 10,783/x
3. Step 3: Cross multiply
   7,658x = 10,783 × 10,783
4. Step 4: Simplify right side
   7,658x = 116,273,089
5. Step 5: Solve for x
   x = 116,273,089/7,658
6. Step 6: Final answer
   x = 15,183.22