Finding the Third Proportional to 10,197 and 20,826

Step by Step Solution

1. Step 1: Write the proportion equation
   10,197 : 20,826 = 20,826 : x
2. Step 2: Convert to fraction form
   10,197/20,826 = 20,826/x
3. Step 3: Cross multiply
   10,197x = 20,826 × 20,826
4. Step 4: Simplify right side
   10,197x = 433,722,276
5. Step 5: Solve for x
   x = 433,722,276/10,197
6. Step 6: Final answer
   x = 42,534.30