Finding the Third Proportional to 13,826 and 21,711

Step by Step Solution

1. Step 1: Write the proportion equation
   13,826 : 21,711 = 21,711 : x
2. Step 2: Convert to fraction form
   13,826/21,711 = 21,711/x
3. Step 3: Cross multiply
   13,826x = 21,711 × 21,711
4. Step 4: Simplify right side
   13,826x = 471,367,521
5. Step 5: Solve for x
   x = 471,367,521/13,826
6. Step 6: Final answer
   x = 34,092.83