Finding the Third Proportional to 10,370 and 10,669

Step by Step Solution

1. Step 1: Write the proportion equation
   10,370 : 10,669 = 10,669 : x
2. Step 2: Convert to fraction form
   10,370/10,669 = 10,669/x
3. Step 3: Cross multiply
   10,370x = 10,669 × 10,669
4. Step 4: Simplify right side
   10,370x = 113,827,561
5. Step 5: Solve for x
   x = 113,827,561/10,370
6. Step 6: Final answer
   x = 10,976.62