Finding the Third Proportional to 16,058 and 37,514

Step by Step Solution

1. Step 1: Write the proportion equation
   16,058 : 37,514 = 37,514 : x
2. Step 2: Convert to fraction form
   16,058/37,514 = 37,514/x
3. Step 3: Cross multiply
   16,058x = 37,514 × 37,514
4. Step 4: Simplify right side
   16,058x = 1,407,300,196
5. Step 5: Solve for x
   x = 1,407,300,196/16,058
6. Step 6: Final answer
   x = 87,638.57