Finding the Third Proportional to 16,185 and 24,426

Step by Step Solution

1. Step 1: Write the proportion equation
   16,185 : 24,426 = 24,426 : x
2. Step 2: Convert to fraction form
   16,185/24,426 = 24,426/x
3. Step 3: Cross multiply
   16,185x = 24,426 × 24,426
4. Step 4: Simplify right side
   16,185x = 596,629,476
5. Step 5: Solve for x
   x = 596,629,476/16,185
6. Step 6: Final answer
   x = 36,863.11