Finding the Third Proportional to 7,834 and 10,742

Step by Step Solution

1. Step 1: Write the proportion equation
   7,834 : 10,742 = 10,742 : x
2. Step 2: Convert to fraction form
   7,834/10,742 = 10,742/x
3. Step 3: Cross multiply
   7,834x = 10,742 × 10,742
4. Step 4: Simplify right side
   7,834x = 115,390,564
5. Step 5: Solve for x
   x = 115,390,564/7,834
6. Step 6: Final answer
   x = 14,729.46