Finding the Third Proportional to 9,274 and 16,514

Step by Step Solution

1. Step 1: Write the proportion equation
   9,274 : 16,514 = 16,514 : x
2. Step 2: Convert to fraction form
   9,274/16,514 = 16,514/x
3. Step 3: Cross multiply
   9,274x = 16,514 × 16,514
4. Step 4: Simplify right side
   9,274x = 272,712,196
5. Step 5: Solve for x
   x = 272,712,196/9,274
6. Step 6: Final answer
   x = 29,406.10