Finding the Third Proportional to 14,741 and 22,826

Step by Step Solution

1. Step 1: Write the proportion equation
   14,741 : 22,826 = 22,826 : x
2. Step 2: Convert to fraction form
   14,741/22,826 = 22,826/x
3. Step 3: Cross multiply
   14,741x = 22,826 × 22,826
4. Step 4: Simplify right side
   14,741x = 521,026,276
5. Step 5: Solve for x
   x = 521,026,276/14,741
6. Step 6: Final answer
   x = 35,345.38