Finding the Third Proportional to 7,742 and 17,238

Step by Step Solution

1. Step 1: Write the proportion equation
   7,742 : 17,238 = 17,238 : x
2. Step 2: Convert to fraction form
   7,742/17,238 = 17,238/x
3. Step 3: Cross multiply
   7,742x = 17,238 × 17,238
4. Step 4: Simplify right side
   7,742x = 297,148,644
5. Step 5: Solve for x
   x = 297,148,644/7,742
6. Step 6: Final answer
   x = 38,381.38