Finding the Third Proportional to 8,742 and 13,118

Step by Step Solution

1. Step 1: Write the proportion equation
   8,742 : 13,118 = 13,118 : x
2. Step 2: Convert to fraction form
   8,742/13,118 = 13,118/x
3. Step 3: Cross multiply
   8,742x = 13,118 × 13,118
4. Step 4: Simplify right side
   8,742x = 172,081,924
5. Step 5: Solve for x
   x = 172,081,924/8,742
6. Step 6: Final answer
   x = 19,684.50