Finding the Third Proportional to 21,606 and 35,279

Step by Step Solution

1. Step 1: Write the proportion equation
   21,606 : 35,279 = 35,279 : x
2. Step 2: Convert to fraction form
   21,606/35,279 = 35,279/x
3. Step 3: Cross multiply
   21,606x = 35,279 × 35,279
4. Step 4: Simplify right side
   21,606x = 1,244,607,841
5. Step 5: Solve for x
   x = 1,244,607,841/21,606
6. Step 6: Final answer
   x = 57,604.73