Finding the Third Proportional to 12,582 and 16,434

Step by Step Solution

1. Step 1: Write the proportion equation
   12,582 : 16,434 = 16,434 : x
2. Step 2: Convert to fraction form
   12,582/16,434 = 16,434/x
3. Step 3: Cross multiply
   12,582x = 16,434 × 16,434
4. Step 4: Simplify right side
   12,582x = 270,076,356
5. Step 5: Solve for x
   x = 270,076,356/12,582
6. Step 6: Final answer
   x = 21,465.30