Finding the Third Proportional to 16,823 and 35,390

Step by Step Solution

1. Step 1: Write the proportion equation
   16,823 : 35,390 = 35,390 : x
2. Step 2: Convert to fraction form
   16,823/35,390 = 35,390/x
3. Step 3: Cross multiply
   16,823x = 35,390 × 35,390
4. Step 4: Simplify right side
   16,823x = 1,252,452,100
5. Step 5: Solve for x
   x = 1,252,452,100/16,823
6. Step 6: Final answer
   x = 74,448.80