Finding the Third Proportional to 21,826 and 34,143

Step by Step Solution

1. Step 1: Write the proportion equation
   21,826 : 34,143 = 34,143 : x
2. Step 2: Convert to fraction form
   21,826/34,143 = 34,143/x
3. Step 3: Cross multiply
   21,826x = 34,143 × 34,143
4. Step 4: Simplify right side
   21,826x = 1,165,744,449
5. Step 5: Solve for x
   x = 1,165,744,449/21,826
6. Step 6: Final answer
   x = 53,410.82