Finding the Third Proportional to 10,466 and 18,826

Step by Step Solution

1. Step 1: Write the proportion equation
   10,466 : 18,826 = 18,826 : x
2. Step 2: Convert to fraction form
   10,466/18,826 = 18,826/x
3. Step 3: Cross multiply
   10,466x = 18,826 × 18,826
4. Step 4: Simplify right side
   10,466x = 354,418,276
5. Step 5: Solve for x
   x = 354,418,276/10,466
6. Step 6: Final answer
   x = 33,863.78