Finding the Third Proportional to 9,380 and 10,208

Step by Step Solution

1. Step 1: Write the proportion equation
   9,380 : 10,208 = 10,208 : x
2. Step 2: Convert to fraction form
   9,380/10,208 = 10,208/x
3. Step 3: Cross multiply
   9,380x = 10,208 × 10,208
4. Step 4: Simplify right side
   9,380x = 104,203,264
5. Step 5: Solve for x
   x = 104,203,264/9,380
6. Step 6: Final answer
   x = 11,109.09