Finding the Third Proportional to 14,616 and 20,826

Step by Step Solution

1. Step 1: Write the proportion equation
   14,616 : 20,826 = 20,826 : x
2. Step 2: Convert to fraction form
   14,616/20,826 = 20,826/x
3. Step 3: Cross multiply
   14,616x = 20,826 × 20,826
4. Step 4: Simplify right side
   14,616x = 433,722,276
5. Step 5: Solve for x
   x = 433,722,276/14,616
6. Step 6: Final answer
   x = 29,674.49