Finding the Third Proportional to 7,742 and 10,073

Step by Step Solution

1. Step 1: Write the proportion equation
   7,742 : 10,073 = 10,073 : x
2. Step 2: Convert to fraction form
   7,742/10,073 = 10,073/x
3. Step 3: Cross multiply
   7,742x = 10,073 × 10,073
4. Step 4: Simplify right side
   7,742x = 101,465,329
5. Step 5: Solve for x
   x = 101,465,329/7,742
6. Step 6: Final answer
   x = 13,105.83