Finding the Third Proportional to 17,946 and 39,514

Step by Step Solution

1. Step 1: Write the proportion equation
   17,946 : 39,514 = 39,514 : x
2. Step 2: Convert to fraction form
   17,946/39,514 = 39,514/x
3. Step 3: Cross multiply
   17,946x = 39,514 × 39,514
4. Step 4: Simplify right side
   17,946x = 1,561,356,196
5. Step 5: Solve for x
   x = 1,561,356,196/17,946
6. Step 6: Final answer
   x = 87,003.02