Finding the Third Proportional to 17,709 and 38,514

Step by Step Solution

1. Step 1: Write the proportion equation
   17,709 : 38,514 = 38,514 : x
2. Step 2: Convert to fraction form
   17,709/38,514 = 38,514/x
3. Step 3: Cross multiply
   17,709x = 38,514 × 38,514
4. Step 4: Simplify right side
   17,709x = 1,483,328,196
5. Step 5: Solve for x
   x = 1,483,328,196/17,709
6. Step 6: Final answer
   x = 83,761.26