Finding the Third Proportional to 10,426 and 19,814

Step by Step Solution

1. Step 1: Write the proportion equation
   10,426 : 19,814 = 19,814 : x
2. Step 2: Convert to fraction form
   10,426/19,814 = 19,814/x
3. Step 3: Cross multiply
   10,426x = 19,814 × 19,814
4. Step 4: Simplify right side
   10,426x = 392,594,596
5. Step 5: Solve for x
   x = 392,594,596/10,426
6. Step 6: Final answer
   x = 37,655.34