Finding the Third Proportional to 10,490 and 22,826

Step by Step Solution

1. Step 1: Write the proportion equation
   10,490 : 22,826 = 22,826 : x
2. Step 2: Convert to fraction form
   10,490/22,826 = 22,826/x
3. Step 3: Cross multiply
   10,490x = 22,826 × 22,826
4. Step 4: Simplify right side
   10,490x = 521,026,276
5. Step 5: Solve for x
   x = 521,026,276/10,490
6. Step 6: Final answer
   x = 49,668.85