Finding the Third Proportional to 10,442 and 19,426

Step by Step Solution

1. Step 1: Write the proportion equation
   10,442 : 19,426 = 19,426 : x
2. Step 2: Convert to fraction form
   10,442/19,426 = 19,426/x
3. Step 3: Cross multiply
   10,442x = 19,426 × 19,426
4. Step 4: Simplify right side
   10,442x = 377,369,476
5. Step 5: Solve for x
   x = 377,369,476/10,442
6. Step 6: Final answer
   x = 36,139.58