Finding the Third Proportional to 9,742 and 13,058

Step by Step Solution

1. Step 1: Write the proportion equation
   9,742 : 13,058 = 13,058 : x
2. Step 2: Convert to fraction form
   9,742/13,058 = 13,058/x
3. Step 3: Cross multiply
   9,742x = 13,058 × 13,058
4. Step 4: Simplify right side
   9,742x = 170,511,364
5. Step 5: Solve for x
   x = 170,511,364/9,742
6. Step 6: Final answer
   x = 17,502.71