Finding the Third Proportional to 8,742 and 13,850

Step by Step Solution

1. Step 1: Write the proportion equation
   8,742 : 13,850 = 13,850 : x
2. Step 2: Convert to fraction form
   8,742/13,850 = 13,850/x
3. Step 3: Cross multiply
   8,742x = 13,850 × 13,850
4. Step 4: Simplify right side
   8,742x = 191,822,500
5. Step 5: Solve for x
   x = 191,822,500/8,742
6. Step 6: Final answer
   x = 21,942.63