Finding the Third Proportional to 16,024 and 34,514

Step by Step Solution

1. Step 1: Write the proportion equation
   16,024 : 34,514 = 34,514 : x
2. Step 2: Convert to fraction form
   16,024/34,514 = 34,514/x
3. Step 3: Cross multiply
   16,024x = 34,514 × 34,514
4. Step 4: Simplify right side
   16,024x = 1,191,216,196
5. Step 5: Solve for x
   x = 1,191,216,196/16,024
6. Step 6: Final answer
   x = 74,339.50