Finding the Third Proportional to 16,582 and 22,514

Step by Step Solution

1. Step 1: Write the proportion equation
   16,582 : 22,514 = 22,514 : x
2. Step 2: Convert to fraction form
   16,582/22,514 = 22,514/x
3. Step 3: Cross multiply
   16,582x = 22,514 × 22,514
4. Step 4: Simplify right side
   16,582x = 506,880,196
5. Step 5: Solve for x
   x = 506,880,196/16,582
6. Step 6: Final answer
   x = 30,568.10