Finding the Third Proportional to 16,500 and 24,714

Step by Step Solution

1. Step 1: Write the proportion equation
   16,500 : 24,714 = 24,714 : x
2. Step 2: Convert to fraction form
   16,500/24,714 = 24,714/x
3. Step 3: Cross multiply
   16,500x = 24,714 × 24,714
4. Step 4: Simplify right side
   16,500x = 610,781,796
5. Step 5: Solve for x
   x = 610,781,796/16,500
6. Step 6: Final answer
   x = 37,017.08