Finding the Third Proportional to 21,458 and 28,283

Step by Step Solution

1. Step 1: Write the proportion equation
   21,458 : 28,283 = 28,283 : x
2. Step 2: Convert to fraction form
   21,458/28,283 = 28,283/x
3. Step 3: Cross multiply
   21,458x = 28,283 × 28,283
4. Step 4: Simplify right side
   21,458x = 799,928,089
5. Step 5: Solve for x
   x = 799,928,089/21,458
6. Step 6: Final answer
   x = 37,278.78