Finding the Third Proportional to 16,823 and 35,389

Step by Step Solution

1. Step 1: Write the proportion equation
   16,823 : 35,389 = 35,389 : x
2. Step 2: Convert to fraction form
   16,823/35,389 = 35,389/x
3. Step 3: Cross multiply
   16,823x = 35,389 × 35,389
4. Step 4: Simplify right side
   16,823x = 1,252,381,321
5. Step 5: Solve for x
   x = 1,252,381,321/16,823
6. Step 6: Final answer
   x = 74,444.59