Finding the Third Proportional to 23,214 and 35,398

Step by Step Solution

1. Step 1: Write the proportion equation
   23,214 : 35,398 = 35,398 : x
2. Step 2: Convert to fraction form
   23,214/35,398 = 35,398/x
3. Step 3: Cross multiply
   23,214x = 35,398 × 35,398
4. Step 4: Simplify right side
   23,214x = 1,253,018,404
5. Step 5: Solve for x
   x = 1,253,018,404/23,214
6. Step 6: Final answer
   x = 53,976.84