Finding the Third Proportional to 16,383 and 35,409

Step by Step Solution

1. Step 1: Write the proportion equation
   16,383 : 35,409 = 35,409 : x
2. Step 2: Convert to fraction form
   16,383/35,409 = 35,409/x
3. Step 3: Cross multiply
   16,383x = 35,409 × 35,409
4. Step 4: Simplify right side
   16,383x = 1,253,797,281
5. Step 5: Solve for x
   x = 1,253,797,281/16,383
6. Step 6: Final answer
   x = 76,530.38