Finding the Third Proportional to 10,838 and 20,380

Step by Step Solution

1. Step 1: Write the proportion equation
   10,838 : 20,380 = 20,380 : x
2. Step 2: Convert to fraction form
   10,838/20,380 = 20,380/x
3. Step 3: Cross multiply
   10,838x = 20,380 × 20,380
4. Step 4: Simplify right side
   10,838x = 415,344,400
5. Step 5: Solve for x
   x = 415,344,400/10,838
6. Step 6: Final answer
   x = 38,322.97